149368311760 has 80 divisors (see below), whose sum is σ = 380389381200. Its totient is φ = 54293700608.

The previous prime is 149368311737. The next prime is 149368311823. The reversal of 149368311760 is 67113863941.

It can be written as a sum of positive squares in 8 ways, for example, as 12115845184 + 137252466576 = 110072^2 + 370476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×149368311760⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

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, 1854175 + ... + 1933054.

It is an arithmetic number, because the mean of its divisors is an integer number (4754867265).

Almost surely, 2^149368311760 is an apocalyptic number.

149368311760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149368311760 is an abundant number, since it is smaller than the sum of its proper divisors (231021069440).

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

149368311760 is a wasteful number, since it uses less digits than its factorization.

149368311760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787288 (or 3787282 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 149368311760 in words is "one hundred forty-nine billion, three hundred sixty-eight million, three hundred eleven thousand, seven hundred sixty".