152683680 has 144 divisors (see below), whose sum is σ = 498470112. Its totient is φ = 39283200.

The previous prime is 152683633. The next prime is 152683691. The reversal of 152683680 is 86386251.

It is a happy number.

152683680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152683680² = 46624612276684800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461115 + ... + 461445.

It is an arithmetic number, because the mean of its divisors is an integer number (3461598).

Almost surely, 2^152683680 is an apocalyptic number.

152683680 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 152683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249235056).

152683680 is an abundant number, since it is smaller than the sum of its proper divisors (345786432).

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

152683680 is a wasteful number, since it uses less digits than its factorization.

152683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 152683680 is about 12356.5237830063. The cubic root of 152683680 is about 534.4792790578.

The spelling of 152683680 in words is "one hundred fifty-two million, six hundred eighty-three thousand, six hundred eighty".