151730051256 has 256 divisors, whose sum is σ = 492605568000. Its totient is φ = 42376711680.

The previous prime is 151730051233. The next prime is 151730051267. The reversal of 151730051256 is 652150037151.

It is a happy number.

151730051256 is a `hidden beast` number, since 1 + 51 + 7 + 300 + 51 + 256 = 666.

151730051256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 151730051256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16141950 + ... + 16151346.

It is an arithmetic number, because the mean of its divisors is an integer number (1924240500).

Almost surely, 2^151730051256 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 151730051256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246302784000).

151730051256 is an abundant number, since it is smaller than the sum of its proper divisors (340875516744).

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

151730051256 is a wasteful number, since it uses less digits than its factorization.

151730051256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 151730051256 in words is "one hundred fifty-one billion, seven hundred thirty million, fifty-one thousand, two hundred fifty-six".