149936085936 has 640 divisors, whose sum is σ = 569563545600. Its totient is φ = 36656686080.

The previous prime is 149936085919. The next prime is 149936085977. The reversal of 149936085936 is 639580639941.

149936085936 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 36 + 0 + 8 + 593 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35103481 + ... + 35107751.

It is an arithmetic number, because the mean of its divisors is an integer number (889943040).

Almost surely, 2^149936085936 is an apocalyptic number.

149936085936 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 149936085936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284781772800).

149936085936 is an abundant number, since it is smaller than the sum of its proper divisors (419627459664).

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

149936085936 is a wasteful number, since it uses less digits than its factorization.

149936085936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 149936085936 in words is "one hundred forty-nine billion, nine hundred thirty-six million, eighty-five thousand, nine hundred thirty-six".