151974400 has 120 divisors (see below), whose sum is σ = 389689344. Its totient is φ = 58675200.

The previous prime is 151974391. The next prime is 151974419. The reversal of 151974400 is 4479151.

151974400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396609 + ... + 396991.

Almost surely, 2^151974400 is an apocalyptic number.

151974400 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 151974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194844672).

151974400 is an abundant number, since it is smaller than the sum of its proper divisors (237714944).

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

151974400 is an equidigital number, since it uses as much as digits as its factorization.

151974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 151974400 is about 12327.7897451246. The cubic root of 151974400 is about 533.6503670612.

The spelling of 151974400 in words is "one hundred fifty-one million, nine hundred seventy-four thousand, four hundred".