157752100800 has 882 divisors, whose sum is σ = 669947416008. Its totient is φ = 35798215680.

The previous prime is 157752100787. The next prime is 157752100817. The reversal of 157752100800 is 8001257751.

157752100800 is a `hidden beast` number, since 1 + 57 + 7 + 521 + 0 + 0 + 80 + 0 = 666.

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 125 ways as a sum of consecutive naturals, for example, 1134907131 + ... + 1134907269.

Almost surely, 2^157752100800 is an apocalyptic number.

157752100800 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 157752100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334973708004).

157752100800 is an abundant number, since it is smaller than the sum of its proper divisors (512195315208).

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

157752100800 is an frugal number, since it uses more digits than its factorization.

157752100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 157752100800 in words is "one hundred fifty-seven billion, seven hundred fifty-two million, one hundred thousand, eight hundred".