149653379232 has 144 divisors (see below), whose sum is σ = 486537105600. Its totient is φ = 42743725056.

The previous prime is 149653379231. The next prime is 149653379251. The reversal of 149653379232 is 232973356941.

149653379232 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 533 + 79 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×149653379232² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149653379231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6942423 + ... + 6963945.

It is an arithmetic number, because the mean of its divisors is an integer number (3378729900).

Almost surely, 2^149653379232 is an apocalyptic number.

149653379232 is a gapful number since it is divisible by the number (12) 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 149653379232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243268552800).

149653379232 is an abundant number, since it is smaller than the sum of its proper divisors (336883726368).

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

149653379232 is a wasteful number, since it uses less digits than its factorization.

149653379232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995 (or 24984 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 149653379232 in words is "one hundred forty-nine billion, six hundred fifty-three million, three hundred seventy-nine thousand, two hundred thirty-two".