149508736767936 has 672 divisors, whose sum is σ = 536059947171840. Its totient is φ = 38788804067328.

The previous prime is 149508736767919. The next prime is 149508736767983. The reversal of 149508736767936 is 639767637805941.

149508736767936 is a `hidden beast` number, since 1 + 4 + 9 + 508 + 7 + 3 + 6 + 7 + 6 + 79 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1465447935 + ... + 1465549953.

It is an arithmetic number, because the mean of its divisors is an integer number (797708254720).

Almost surely, 2^{149508736767936} is an apocalyptic number.

149508736767936 is a gapful number since it is divisible by the number (16) 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 149508736767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268029973585920).

149508736767936 is an abundant number, since it is smaller than the sum of its proper divisors (386551210403904).

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

149508736767936 is a wasteful number, since it uses less digits than its factorization.

149508736767936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102513 (or 102500 counting only the distinct ones).

The product of its (nonzero) digits is 8641624320, while the sum is 81.

The spelling of 149508736767936 in words is "one hundred forty-nine trillion, five hundred eight billion, seven hundred thirty-six million, seven hundred sixty-seven thousand, nine hundred thirty-six".