157693200 has 120 divisors (see below), whose sum is σ = 577338048. Its totient is φ = 36042240.

The previous prime is 157693157. The next prime is 157693259. The reversal of 157693200 is 2396751.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 987 + ... + 17786.

Almost surely, 2^157693200 is an apocalyptic number.

157693200 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 157693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288669024).

157693200 is an abundant number, since it is smaller than the sum of its proper divisors (419644848).

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

157693200 is a wasteful number, since it uses less digits than its factorization.

157693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18801 (or 18790 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 157693200 is about 12557.5953112051. The cubic root of 157693200 is about 540.2618757250.

The spelling of 157693200 in words is "one hundred fifty-seven million, six hundred ninety-three thousand, two hundred".