151572415700952 has 288 divisors, whose sum is σ = 437842610852400. Its totient is φ = 47238630050304.

The previous prime is 151572415700947. The next prime is 151572415701053. The reversal of 151572415700952 is 259007514275151.

151572415700952 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 72 + 415 + 70 + 0 + 95 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9546658038 + ... + 9546673914.

Almost surely, 2^{151572415700952} is an apocalyptic number.

151572415700952 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 151572415700952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218921305426200).

151572415700952 is an abundant number, since it is smaller than the sum of its proper divisors (286270195151448).

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

151572415700952 is a wasteful number, since it uses less digits than its factorization.

151572415700952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 54.

The spelling of 151572415700952 in words is "one hundred fifty-one trillion, five hundred seventy-two billion, four hundred fifteen million, seven hundred thousand, nine hundred fifty-two".