149813879063104 has 63 divisors (see below), whose sum is σ = 300402371205867. Its totient is φ = 74130002939904.

The previous prime is 149813879063081. The next prime is 149813879063141. The reversal of 149813879063104 is 401360978318941.

The square root of 149813879063104 is 12239848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 188140797504 + 149625738265600 = 433752^2 + 12232160^2 .

It is a super-2 number, since 2×149813879063104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 9498114162 + ... + 9498129934.

Almost surely, 2^{149813879063104} is an apocalyptic number.

149813879063104 is the 12239848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149813879063104

149813879063104 is an abundant number, since it is smaller than the sum of its proper divisors (150588492142763).

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

149813879063104 is an frugal number, since it uses more digits than its factorization.

149813879063104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31752 (or 15872 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

149813879063104 divided by its sum of digits (64) gives a square (2340841860361 = 1529981²).

The spelling of 149813879063104 in words is "one hundred forty-nine trillion, eight hundred thirteen billion, eight hundred seventy-nine million, sixty-three thousand, one hundred four".