157143801600 has 864 divisors, whose sum is σ = 633234470400. Its totient is φ = 37955174400.

The previous prime is 157143801599. The next prime is 157143801637. The reversal of 157143801600 is 6108341751.

157143801600 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 43 + 8 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 75512560 + ... + 75514640.

Almost surely, 2^157143801600 is an apocalyptic number.

157143801600 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 157143801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316617235200).

157143801600 is an abundant number, since it is smaller than the sum of its proper divisors (476090668800).

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

157143801600 is a wasteful number, since it uses less digits than its factorization.

157143801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 157143801600 in words is "one hundred fifty-seven billion, one hundred forty-three million, eight hundred one thousand, six hundred".