150278400 has 162 divisors, whose sum is σ = 537485130. Its totient is φ = 40058880.

The previous prime is 150278399. The next prime is 150278449. The reversal of 150278400 is 4872051.

150278400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 141705216 = 2928^2 + 11904^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56296 + ... + 58904.

Almost surely, 2^150278400 is an apocalyptic number.

150278400 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 150278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268742565).

150278400 is an abundant number, since it is smaller than the sum of its proper divisors (387206730).

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

150278400 is a wasteful number, since it uses less digits than its factorization.

150278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 150278400 is about 12258.8090775572. The cubic root of 150278400 is about 531.6577971527.

The spelling of 150278400 in words is "one hundred fifty million, two hundred seventy-eight thousand, four hundred".