156180864 has 128 divisors (see below), whose sum is σ = 479808000. Its totient is φ = 44089344.

The previous prime is 156180797. The next prime is 156180881. The reversal of 156180864 is 468081651.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×156180864³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260437 + ... + 261035.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^156180864 is an apocalyptic number.

156180864 is a gapful number since it is divisible by the number (14) 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 156180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904000).

156180864 is an abundant number, since it is smaller than the sum of its proper divisors (323627136).

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

156180864 is an equidigital number, since it uses as much as digits as its factorization.

156180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 156180864 is about 12497.2342540260. The cubic root of 156180864 is about 538.5292213236.

The spelling of 156180864 in words is "one hundred fifty-six million, one hundred eighty thousand, eight hundred sixty-four".