157399200 has 360 divisors, whose sum is σ = 657895392. Its totient is φ = 35873280.

The previous prime is 157399181. The next prime is 157399217. The reversal of 157399200 is 2993751.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 453427 + ... + 453773.

Almost surely, 2^157399200 is an apocalyptic number.

157399200 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 157399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328947696).

157399200 is an abundant number, since it is smaller than the sum of its proper divisors (500496192).

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

157399200 is a wasteful number, since it uses less digits than its factorization.

157399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 157399200 is about 12545.8837871232. The cubic root of 157399200 is about 539.9259157625.

The spelling of 157399200 in words is "one hundred fifty-seven million, three hundred ninety-nine thousand, two hundred".