156157200 has 240 divisors, whose sum is σ = 585825600. Its totient is φ = 39398400.

The previous prime is 156157193. The next prime is 156157201. The reversal of 156157200 is 2751651.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×156157200² = 48770142223680000, which contains 22 as substring.

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 (156157201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204820 + ... + 205580.

It is an arithmetic number, because the mean of its divisors is an integer number (2440940).

Almost surely, 2^156157200 is an apocalyptic number.

156157200 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 156157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292912800).

156157200 is an abundant number, since it is smaller than the sum of its proper divisors (429668400).

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

156157200 is a wasteful number, since it uses less digits than its factorization.

156157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 156157200 is about 12496.2874486785. The cubic root of 156157200 is about 538.5020212368.

The spelling of 156157200 in words is "one hundred fifty-six million, one hundred fifty-seven thousand, two hundred".