156032870400 has 1152 divisors, whose sum is σ = 647358566400. Its totient is φ = 36495360000.

The previous prime is 156032870381. The next prime is 156032870401. The reversal of 156032870400 is 4078230651.

156032870400 is a `hidden beast` number, since 1 + 5 + 603 + 2 + 8 + 7 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (156032870401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471398235 + ... + 471398565.

It is an arithmetic number, because the mean of its divisors is an integer number (561943200).

Almost surely, 2^156032870400 is an apocalyptic number.

156032870400 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 156032870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323679283200).

156032870400 is an abundant number, since it is smaller than the sum of its proper divisors (491325696000).

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

156032870400 is a wasteful number, since it uses less digits than its factorization.

156032870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 15603 and 2870400, that added together give a triangular number (2886003 = T₂₄₀₂).

The spelling of 156032870400 in words is "one hundred fifty-six billion, thirty-two million, eight hundred seventy thousand, four hundred".