157415400 has 288 divisors, whose sum is σ = 568713600. Its totient is φ = 40435200.

The previous prime is 157415387. The next prime is 157415407. The reversal of 157415400 is 4514751.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (157415407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1992561 + ... + 1992639.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 2^157415400 is an apocalyptic number.

157415400 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 157415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

157415400 is an abundant number, since it is smaller than the sum of its proper divisors (411298200).

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

157415400 is a wasteful number, since it uses less digits than its factorization.

157415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 157415400 is about 12546.5294005952. The cubic root of 157415400 is about 539.9444387279.

The spelling of 157415400 in words is "one hundred fifty-seven million, four hundred fifteen thousand, four hundred".