152413380 has 192 divisors, whose sum is σ = 551631360. Its totient is φ = 34214400.

The previous prime is 152413379. The next prime is 152413399. The reversal of 152413380 is 83314251.

It is a happy number.

152413380 is a `hidden beast` number, since 1 + 524 + 133 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 230250 + ... + 230910.

It is an arithmetic number, because the mean of its divisors is an integer number (2873080).

Almost surely, 2^152413380 is an apocalyptic number.

152413380 is a gapful number since it is divisible by the number (10) 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 152413380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275815680).

152413380 is an abundant number, since it is smaller than the sum of its proper divisors (399217980).

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

152413380 is a wasteful number, since it uses less digits than its factorization.

152413380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152413380 is about 12345.5813957869. The cubic root of 152413380 is about 534.1636917688.

The spelling of 152413380 in words is "one hundred fifty-two million, four hundred thirteen thousand, three hundred eighty".