157123800 has 288 divisors, whose sum is σ = 566682480. Its totient is φ = 40435200.

The previous prime is 157123753. The next prime is 157123819. The reversal of 157123800 is 8321751.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2575770 + ... + 2575830.

Almost surely, 2^157123800 is an apocalyptic number.

157123800 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 157123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283341240).

157123800 is an abundant number, since it is smaller than the sum of its proper divisors (409558680).

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

157123800 is a wasteful number, since it uses less digits than its factorization.

157123800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157123800 is about 12534.9032704684. The cubic root of 157123800 is about 539.6108307105.

The spelling of 157123800 in words is "one hundred fifty-seven million, one hundred twenty-three thousand, eight hundred".