151319301120 has 1320 divisors, whose sum is σ = 626596591104. Its totient is φ = 34780741632.

The previous prime is 151319301073. The next prime is 151319301143. The reversal of 151319301120 is 21103913151.

It is a happy number.

151319301120 is a `hidden beast` number, since 1 + 513 + 1 + 9 + 30 + 112 + 0 = 666.

151319301120 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1191490497 + ... + 1191490623.

Almost surely, 2^151319301120 is an apocalyptic number.

151319301120 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 151319301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313298295552).

151319301120 is an abundant number, since it is smaller than the sum of its proper divisors (475277289984).

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

151319301120 is a wasteful number, since it uses less digits than its factorization.

151319301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 151319301120 in words is "one hundred fifty-one billion, three hundred nineteen million, three hundred one thousand, one hundred twenty".