149313108672 has 560 divisors, whose sum is σ = 549768808512. Its totient is φ = 39016857600.

The previous prime is 149313108667. The next prime is 149313108677. The reversal of 149313108672 is 276801313941.

149313108672 is a `hidden beast` number, since 1 + 493 + 1 + 3 + 10 + 86 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (149313108667) and next prime (149313108677).

It is not an unprimeable number, because it can be changed into a prime (149313108677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53305672 + ... + 53308472.

Almost surely, 2^149313108672 is an apocalyptic number.

149313108672 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 149313108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274884404256).

149313108672 is an abundant number, since it is smaller than the sum of its proper divisors (400455699840).

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

149313108672 is a wasteful number, since it uses less digits than its factorization.

149313108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149313108672 in words is "one hundred forty-nine billion, three hundred thirteen million, one hundred eight thousand, six hundred seventy-two".