152512848 has 160 divisors (see below), whose sum is σ = 488361600. Its totient is φ = 45287424.

The previous prime is 152512847. The next prime is 152512849. The reversal of 152512848 is 848215251.

152512848 is a `hidden beast` number, since 1 + 525 + 128 + 4 + 8 = 666.

152512848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152512847) and next prime (152512849).

It is a super-2 number, since 2×152512848² = 46520337610142208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152512847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138990 + ... + 140082.

It is an arithmetic number, because the mean of its divisors is an integer number (3052260).

Almost surely, 2^152512848 is an apocalyptic number.

152512848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152512848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244180800).

152512848 is an abundant number, since it is smaller than the sum of its proper divisors (335848752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152512848 is a wasteful number, since it uses less digits than its factorization.

152512848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 152512848 is about 12349.6092245868. The cubic root of 152512848 is about 534.2798684454.

The spelling of 152512848 in words is "one hundred fifty-two million, five hundred twelve thousand, eight hundred forty-eight".