153051314152 has 64 divisors (see below), whose sum is σ = 317816317440. Its totient is φ = 68513860800.

The previous prime is 153051314113. The next prime is 153051314161. The reversal of 153051314152 is 251413150351.

153051314152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 5903923 + ... + 5929789.

It is an arithmetic number, because the mean of its divisors is an integer number (4965879960).

Almost surely, 2^153051314152 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 153051314152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158908158720).

153051314152 is an abundant number, since it is smaller than the sum of its proper divisors (164765003288).

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

153051314152 is a wasteful number, since it uses less digits than its factorization.

153051314152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26902 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 153051314152 in words is "one hundred fifty-three billion, fifty-one million, three hundred fourteen thousand, one hundred fifty-two".