157418400 has 144 divisors (see below), whose sum is σ = 518029344. Its totient is φ = 41518080.

The previous prime is 157418389. The next prime is 157418407. The reversal of 157418400 is 4814751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (157418407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256494 + ... + 257106.

It is an arithmetic number, because the mean of its divisors is an integer number (3597426).

Almost surely, 2^157418400 is an apocalyptic number.

157418400 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 157418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259014672).

157418400 is an abundant number, since it is smaller than the sum of its proper divisors (360610944).

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

157418400 is a wasteful number, since it uses less digits than its factorization.

157418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 157418400 is about 12546.6489549999. The cubic root of 157418400 is about 539.9478687672.

The spelling of 157418400 in words is "one hundred fifty-seven million, four hundred eighteen thousand, four hundred".