156998400 has 432 divisors, whose sum is σ = 606773664. Its totient is φ = 35389440.

The previous prime is 156998393. The next prime is 156998411. The reversal of 156998400 is 4899651.

156998400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4243182 + ... + 4243218.

Almost surely, 2^156998400 is an apocalyptic number.

156998400 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 156998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303386832).

156998400 is an abundant number, since it is smaller than the sum of its proper divisors (449775264).

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

156998400 is a wasteful number, since it uses less digits than its factorization.

156998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 156998400 is about 12529.9002390282. The cubic root of 156998400 is about 539.4672386134.

It can be divided in two parts, 156 and 998400, that multiplied together give a square (155750400 = 12480²).

The spelling of 156998400 in words is "one hundred fifty-six million, nine hundred ninety-eight thousand, four hundred".