149979135264 has 96 divisors (see below), whose sum is σ = 469499950080. Its totient is φ = 40988082432.

The previous prime is 149979135259. The next prime is 149979135283. The reversal of 149979135264 is 462531979941.

149979135264 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 149979135198 and 149979135207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4836354 + ... + 4867265.

It is an arithmetic number, because the mean of its divisors is an integer number (4890624480).

Almost surely, 2^149979135264 is an apocalyptic number.

149979135264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

149979135264 is an abundant number, since it is smaller than the sum of its proper divisors (319520814816).

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

149979135264 is a wasteful number, since it uses less digits than its factorization.

149979135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703662 (or 9703654 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 60.

The spelling of 149979135264 in words is "one hundred forty-nine billion, nine hundred seventy-nine million, one hundred thirty-five thousand, two hundred sixty-four".