151309992960 has 792 divisors, whose sum is σ = 642163878720. Its totient is φ = 32755580928.

The previous prime is 151309992937. The next prime is 151309992973. The reversal of 151309992960 is 69299903151.

It is a junction number, because it is equal to n+sod(n) for n = 151309992897 and 151309992906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42898717 + ... + 42902243.

Almost surely, 2^151309992960 is an apocalyptic number.

151309992960 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 151309992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321081939360).

151309992960 is an abundant number, since it is smaller than the sum of its proper divisors (490853885760).

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

151309992960 is a wasteful number, since it uses less digits than its factorization.

151309992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 151309992960 in words is "one hundred fifty-one billion, three hundred nine million, nine hundred ninety-two thousand, nine hundred sixty".