157493200 has 60 divisors (see below), whose sum is σ = 391453740. Its totient is φ = 60820480.

The previous prime is 157493197. The next prime is 157493207. The reversal of 157493200 is 2394751.

It can be written as a sum of positive squares in 6 ways, for example, as 4426816 + 153066384 = 2104^2 + 12372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157493207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4812 + ... + 18388.

It is an arithmetic number, because the mean of its divisors is an integer number (6524229).

Almost surely, 2^157493200 is an apocalyptic number.

157493200 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 157493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195726870).

157493200 is an abundant number, since it is smaller than the sum of its proper divisors (233960540).

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

157493200 is a wasteful number, since it uses less digits than its factorization.

157493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13624 (or 13613 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 157493200 is about 12549.6294766021. The cubic root of 157493200 is about 540.0333769950.

The spelling of 157493200 in words is "one hundred fifty-seven million, four hundred ninety-three thousand, two hundred".