149634976320 has 896 divisors, whose sum is σ = 566301818880. Its totient is φ = 37135687680.

The previous prime is 149634976241. The next prime is 149634976331. The reversal of 149634976320 is 23679436941.

It is a happy number.

149634976320 is a `hidden beast` number, since 1 + 4 + 96 + 3 + 497 + 63 + 2 + 0 = 666.

149634976320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149634976320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1178228097 + ... + 1178228223.

It is an arithmetic number, because the mean of its divisors is an integer number (632033280).

Almost surely, 2^149634976320 is an apocalyptic number.

149634976320 is a gapful number since it is divisible by the number (10) 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 149634976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283150909440).

149634976320 is an abundant number, since it is smaller than the sum of its proper divisors (416666842560).

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

149634976320 is a wasteful number, since it uses less digits than its factorization.

149634976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 149634976320 in words is "one hundred forty-nine billion, six hundred thirty-four million, nine hundred seventy-six thousand, three hundred twenty".