157311200 has 144 divisors (see below), whose sum is σ = 417629520. Its totient is φ = 57630720.

The previous prime is 157311181. The next prime is 157311233. The reversal of 157311200 is 2113751.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584666 + ... + 584934.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^157311200 is an apocalyptic number.

157311200 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 157311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208814760).

157311200 is an abundant number, since it is smaller than the sum of its proper divisors (260318320).

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

157311200 is a wasteful number, since it uses less digits than its factorization.

157311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 157311200 is about 12542.3761704073. The cubic root of 157311200 is about 539.8252749756.

Adding to 157311200 its reverse (2113751), we get a palindrome (159424951).

The spelling of 157311200 in words is "one hundred fifty-seven million, three hundred eleven thousand, two hundred".