10133762832 has 240 divisors, whose sum is σ = 31519732608. Its totient is φ = 3023032320.

The previous prime is 10133762831. The next prime is 10133762839. The reversal of 10133762832 is 23826733101.

10133762832 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 376 + 283 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10133762831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11879718 + ... + 11880570.

Almost surely, 2^10133762832 is an apocalyptic number.

10133762832 is a gapful number since it is divisible by the number (12) 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 10133762832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759866304).

10133762832 is an abundant number, since it is smaller than the sum of its proper divisors (21385969776).

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

10133762832 is a wasteful number, since it uses less digits than its factorization.

10133762832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10133762832 in words is "ten billion, one hundred thirty-three million, seven hundred sixty-two thousand, eight hundred thirty-two".