157100083200 has 1152 divisors, whose sum is σ = 619572844800. Its totient is φ = 39414988800.

The previous prime is 157100083193. The next prime is 157100083229. The reversal of 157100083200 is 2380001751.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×157100083200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2575411170 + ... + 2575411230.

It is an arithmetic number, because the mean of its divisors is an integer number (537823650).

Almost surely, 2^157100083200 is an apocalyptic number.

157100083200 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 157100083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309786422400).

157100083200 is an abundant number, since it is smaller than the sum of its proper divisors (462472761600).

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

157100083200 is an frugal number, since it uses more digits than its factorization.

157100083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 157100083200 its reverse (2380001751), we get a palindrome (159480084951).

The spelling of 157100083200 in words is "one hundred fifty-seven billion, one hundred million, eighty-three thousand, two hundred".