156153160800 has 1944 divisors, whose sum is σ = 726700816296. Its totient is φ = 32606945280.

The previous prime is 156153160783. The next prime is 156153160817. The reversal of 156153160800 is 8061351651.

156153160800 is a `hidden beast` number, since 1 + 5 + 6 + 15 + 31 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (156153160783) and next prime (156153160817).

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1609826352 + ... + 1609826448.

Almost surely, 2^156153160800 is an apocalyptic number.

156153160800 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 156153160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363350408148).

156153160800 is an abundant number, since it is smaller than the sum of its proper divisors (570547655496).

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

156153160800 is a wasteful number, since it uses less digits than its factorization.

156153160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 156153160800 in words is "one hundred fifty-six billion, one hundred fifty-three million, one hundred sixty thousand, eight hundred".