157075200 has 324 divisors, whose sum is σ = 588144648. Its totient is φ = 41472000.

The previous prime is 157075159. The next prime is 157075201. The reversal of 157075200 is 2570751.

157075200 is a `hidden beast` number, since 1 + 570 + 75 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157075201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555150 + ... + 1555250.

Almost surely, 2^157075200 is an apocalyptic number.

157075200 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 157075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294072324).

157075200 is an abundant number, since it is smaller than the sum of its proper divisors (431069448).

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

157075200 is an equidigital number, since it uses as much as digits as its factorization.

157075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 157075200 is about 12532.9645335810. The cubic root of 157075200 is about 539.5551892551. Note that the first 3 decimals are identical.

The spelling of 157075200 in words is "one hundred fifty-seven million, seventy-five thousand, two hundred".