150428137574400 has 1248 divisors, whose sum is σ = 590329711623168. Its totient is φ = 33081340723200.

The previous prime is 150428137574321. The next prime is 150428137574479. The reversal of 150428137574400 is 4475731824051.

It is an interprime number because it is at equal distance from previous prime (150428137574321) and next prime (150428137574479).

It is a super-2 number, since 2×150428137574400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6195290260 + ... + 6195314540.

Almost surely, 2^{150428137574400} is an apocalyptic number.

150428137574400 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 150428137574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295164855811584).

150428137574400 is an abundant number, since it is smaller than the sum of its proper divisors (439901574048768).

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

150428137574400 is a wasteful number, since it uses less digits than its factorization.

150428137574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24435 (or 24408 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 150428137574400 in words is "one hundred fifty trillion, four hundred twenty-eight billion, one hundred thirty-seven million, five hundred seventy-four thousand, four hundred".