151503579136 has 384 divisors, whose sum is σ = 388163543040. Its totient is φ = 57521995776.

The previous prime is 151503579079. The next prime is 151503579181. The reversal of 151503579136 is 631975305151.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875743146 + ... + 875743318.

It is an arithmetic number, because the mean of its divisors is an integer number (1010842560).

Almost surely, 2^151503579136 is an apocalyptic number.

151503579136 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 151503579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194081771520).

151503579136 is an abundant number, since it is smaller than the sum of its proper divisors (236659963904).

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

151503579136 is a wasteful number, since it uses less digits than its factorization.

151503579136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 46.

The spelling of 151503579136 in words is "one hundred fifty-one billion, five hundred three million, five hundred seventy-nine thousand, one hundred thirty-six".