150978651264 has 192 divisors, whose sum is σ = 496971858240. Its totient is φ = 43097683968.

The previous prime is 150978651259. The next prime is 150978651379. The reversal of 150978651264 is 462156879051.

It is a happy number.

150978651264 is a `hidden beast` number, since 1 + 50 + 9 + 78 + 6 + 512 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 150978651264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9564082 + ... + 9579854.

It is an arithmetic number, because the mean of its divisors is an integer number (2588395095).

Almost surely, 2^150978651264 is an apocalyptic number.

150978651264 is a gapful number since it is divisible by the number (14) 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 150978651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248485929120).

150978651264 is an abundant number, since it is smaller than the sum of its proper divisors (345993206976).

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

150978651264 is a wasteful number, since it uses less digits than its factorization.

150978651264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16987 (or 16972 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 150978651264 in words is "one hundred fifty billion, nine hundred seventy-eight million, six hundred fifty-one thousand, two hundred sixty-four".