156945600 has 420 divisors, whose sum is σ = 663116784. Its totient is φ = 35665920.

The previous prime is 156945577. The next prime is 156945611. The reversal of 156945600 is 6549651.

156945600 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 907114 + ... + 907286.

Almost surely, 2^156945600 is an apocalyptic number.

156945600 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 156945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331558392).

156945600 is an abundant number, since it is smaller than the sum of its proper divisors (506171184).

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

156945600 is a wasteful number, since it uses less digits than its factorization.

156945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 156945600 is about 12527.7931017398. The cubic root of 156945600 is about 539.4067559080.

The spelling of 156945600 in words is "one hundred fifty-six million, nine hundred forty-five thousand, six hundred".