152586940 has 48 divisors (see below), whose sum is σ = 353535840. Its totient is φ = 54855680.

The previous prime is 152586937. The next prime is 152586943. The reversal of 152586940 is 49685251.

It is an interprime number because it is at equal distance from previous prime (152586937) and next prime (152586943).

It is a junction number, because it is equal to n+sod(n) for n = 152586893 and 152586902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152586943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15684 + ... + 23476.

It is an arithmetic number, because the mean of its divisors is an integer number (7365330).

Almost surely, 2^152586940 is an apocalyptic number.

152586940 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 152586940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176767920).

152586940 is an abundant number, since it is smaller than the sum of its proper divisors (200948900).

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

152586940 is a wasteful number, since it uses less digits than its factorization.

152586940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7902 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 152586940 is about 12352.6086313782. The cubic root of 152586940 is about 534.3663736282.

The spelling of 152586940 in words is "one hundred fifty-two million, five hundred eighty-six thousand, nine hundred forty".