151022192256 has 512 divisors, whose sum is σ = 530407180800. Its totient is φ = 41828548608.

The previous prime is 151022192231. The next prime is 151022192267. The reversal of 151022192256 is 652291220151.

151022192256 is a `hidden beast` number, since 1 + 510 + 2 + 2 + 1 + 92 + 2 + 56 = 666.

It is a super-3 number, since 3×151022192256³ (a number of 35 digits) contains 333 as substring.

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 151022192256.

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 63 ways as a sum of consecutive naturals, for example, 17562550 + ... + 17571146.

It is an arithmetic number, because the mean of its divisors is an integer number (1035951525).

Almost surely, 2^151022192256 is an apocalyptic number.

151022192256 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 151022192256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265203590400).

151022192256 is an abundant number, since it is smaller than the sum of its proper divisors (379384988544).

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

151022192256 is a wasteful number, since it uses less digits than its factorization.

151022192256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 151022192256 in words is "one hundred fifty-one billion, twenty-two million, one hundred ninety-two thousand, two hundred fifty-six".