156340800 has 672 divisors, whose sum is σ = 725667840. Its totient is φ = 31795200.

The previous prime is 156340787. The next prime is 156340801. The reversal of 156340800 is 8043651.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (156340801) 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, 3326377 + ... + 3326423.

Almost surely, 2^156340800 is an apocalyptic number.

156340800 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 156340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362833920).

156340800 is an abundant number, since it is smaller than the sum of its proper divisors (569327040).

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

156340800 is a wasteful number, since it uses less digits than its factorization.

156340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

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

The square root of 156340800 is about 12503.6314724963. The cubic root of 156340800 is about 538.7129843953.

156340800 divided by its product of nonzero digits (2880) gives a triangular number (54285 = T₃₂₉).

The spelling of 156340800 in words is "one hundred fifty-six million, three hundred forty thousand, eight hundred".