460076133132 has 216 divisors, whose sum is σ = 1469899861248. Its totient is φ = 118765880640.

The previous prime is 460076133113. The next prime is 460076133157. The reversal of 460076133132 is 231331670064.

460076133132 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 7 + 613 + 3 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4923913 + ... + 5016479.

Almost surely, 2^460076133132 is an apocalyptic number.

460076133132 is a gapful number since it is divisible by the number (42) 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 460076133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734949930624).

460076133132 is an abundant number, since it is smaller than the sum of its proper divisors (1009823728116).

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

460076133132 is a wasteful number, since it uses less digits than its factorization.

460076133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92769 (or 92753 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 460076133132 in words is "four hundred sixty billion, seventy-six million, one hundred thirty-three thousand, one hundred thirty-two".