151135922304 has 192 divisors, whose sum is σ = 453640299840. Its totient is φ = 50085651456.

The previous prime is 151135922303. The next prime is 151135922317. The reversal of 151135922304 is 403229531151.

It is a happy number.

151135922304 is a `hidden beast` number, since 1 + 51 + 13 + 592 + 2 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (151135922303) 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 23 ways as a sum of consecutive naturals, for example, 5366949 + ... + 5395035.

It is an arithmetic number, because the mean of its divisors is an integer number (2362709895).

Almost surely, 2^151135922304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151135922304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226820149920).

151135922304 is an abundant number, since it is smaller than the sum of its proper divisors (302504377536).

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

151135922304 is an equidigital number, since it uses as much as digits as its factorization.

151135922304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28289 (or 28265 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 151135922304 in words is "one hundred fifty-one billion, one hundred thirty-five million, nine hundred twenty-two thousand, three hundred four".