157768351200 has 108 divisors (see below), whose sum is σ = 556330673808. Its totient is φ = 42071558400.

The previous prime is 157768351177. The next prime is 157768351231. The reversal of 157768351200 is 2153867751.

It is a happy number.

157768351200 is a `hidden beast` number, since 1 + 5 + 77 + 68 + 3 + 512 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10948936 + ... + 10963335.

Almost surely, 2^157768351200 is an apocalyptic number.

157768351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157768351200 is an abundant number, since it is smaller than the sum of its proper divisors (398562322608).

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

157768351200 is a wasteful number, since it uses less digits than its factorization.

157768351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912297 (or 21912281 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 157768351200 in words is "one hundred fifty-seven billion, seven hundred sixty-eight million, three hundred fifty-one thousand, two hundred".