157749200 has 120 divisors (see below), whose sum is σ = 441721728. Its totient is φ = 53015040.

The previous prime is 157749143. The next prime is 157749211. The reversal of 157749200 is 2947751.

157749200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 147869 + ... + 148931.

Almost surely, 2^157749200 is an apocalyptic number.

157749200 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 157749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

157749200 is an abundant number, since it is smaller than the sum of its proper divisors (283972528).

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

157749200 is a wasteful number, since it uses less digits than its factorization.

157749200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 157749200 is about 12559.8248395429. The cubic root of 157749200 is about 540.3258207448.

The spelling of 157749200 in words is "one hundred fifty-seven million, seven hundred forty-nine thousand, two hundred".