157400400 has 120 divisors (see below), whose sum is σ = 521707680. Its totient is φ = 40517120.

The previous prime is 157400393. The next prime is 157400413. The reversal of 157400400 is 4004751.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 32539 + ... + 37061.

It is an arithmetic number, because the mean of its divisors is an integer number (4347564).

Almost surely, 2^157400400 is an apocalyptic number.

157400400 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 157400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260853840).

157400400 is an abundant number, since it is smaller than the sum of its proper divisors (364307280).

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

157400400 is a wasteful number, since it uses less digits than its factorization.

157400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 157400400 is about 12545.9316114827. The cubic root of 157400400 is about 539.9272878776.

The spelling of 157400400 in words is "one hundred fifty-seven million, four hundred thousand, four hundred".