151253452113200 has 240 divisors, whose sum is σ = 387502478254080. Its totient is φ = 56603191772160.

The previous prime is 151253452113149. The next prime is 151253452113227. The reversal of 151253452113200 is 2311254352151.

It is a super-2 number, since 2×151253452113200² (a number of 29 digits) contains 22 as substring.

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, 677459186 + ... + 677682414.

It is an arithmetic number, because the mean of its divisors is an integer number (1614593659392).

Almost surely, 2^{151253452113200} is an apocalyptic number.

151253452113200 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 151253452113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193751239127040).

151253452113200 is an abundant number, since it is smaller than the sum of its proper divisors (236249026140880).

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

151253452113200 is a wasteful number, since it uses less digits than its factorization.

151253452113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224884 (or 224873 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 151253452113200 in words is "one hundred fifty-one trillion, two hundred fifty-three billion, four hundred fifty-two million, one hundred thirteen thousand, two hundred".