153107407332 has 192 divisors, whose sum is σ = 445993390080. Its totient is φ = 45014486400.

The previous prime is 153107407307. The next prime is 153107407361. The reversal of 153107407332 is 233704701351.

153107407332 is a `hidden beast` number, since 1 + 5 + 310 + 7 + 4 + 0 + 7 + 332 = 666.

153107407332 is digitally balanced in base 2, 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16127107 + ... + 16136597.

It is an arithmetic number, because the mean of its divisors is an integer number (2322882240).

Almost surely, 2^153107407332 is an apocalyptic number.

153107407332 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 153107407332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222996695040).

153107407332 is an abundant number, since it is smaller than the sum of its proper divisors (292885982748).

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

153107407332 is a wasteful number, since it uses less digits than its factorization.

153107407332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 153107407332 in words is "one hundred fifty-three billion, one hundred seven million, four hundred seven thousand, three hundred thirty-two".