10151357832 has 768 divisors, whose sum is σ = 39713587200. Its totient is φ = 2363074560.

The previous prime is 10151357803. The next prime is 10151357833. The reversal of 10151357832 is 23875315101.

It is a happy number.

10151357832 is a `hidden beast` number, since 1 + 0 + 1 + 51 + 3 + 578 + 32 = 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 (10151357833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45521673 + ... + 45521895.

It is an arithmetic number, because the mean of its divisors is an integer number (51710400).

Almost surely, 2^10151357832 is an apocalyptic number.

10151357832 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 10151357832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600).

10151357832 is an abundant number, since it is smaller than the sum of its proper divisors (29562229368).

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

10151357832 is a wasteful number, since it uses less digits than its factorization.

10151357832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10151357832 in words is "ten billion, one hundred fifty-one million, three hundred fifty-seven thousand, eight hundred thirty-two".