151251541056 has 1680 divisors, whose sum is σ = 621318544000. Its totient is φ = 36212520960.

The previous prime is 151251541043. The next prime is 151251541073. The reversal of 151251541056 is 650145152151.

151251541056 is a `hidden beast` number, since 1 + 5 + 12 + 51 + 541 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151251541056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4087879470 + ... + 4087879506.

Almost surely, 2^151251541056 is an apocalyptic number.

151251541056 is a gapful number since it is divisible by the number (16) 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 151251541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310659272000).

151251541056 is an abundant number, since it is smaller than the sum of its proper divisors (470067002944).

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

151251541056 is a wasteful number, since it uses less digits than its factorization.

151251541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 151251541056 in words is "one hundred fifty-one billion, two hundred fifty-one million, five hundred forty-one thousand, fifty-six".