151538524704 has 432 divisors, whose sum is σ = 517174939008. Its totient is φ = 42810052608.

The previous prime is 151538524601. The next prime is 151538524721. The reversal of 151538524704 is 407425835151.

151538524704 is a `hidden beast` number, since 1 + 5 + 1 + 53 + 8 + 524 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 151538524704.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 142556877 + ... + 142557939.

Almost surely, 2^151538524704 is an apocalyptic number.

151538524704 is a gapful number since it is divisible by the number (14) 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 151538524704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258587469504).

151538524704 is an abundant number, since it is smaller than the sum of its proper divisors (365636414304).

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

151538524704 is an frugal number, since it uses more digits than its factorization.

151538524704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 151538524704 in words is "one hundred fifty-one billion, five hundred thirty-eight million, five hundred twenty-four thousand, seven hundred four".