149756260968 has 480 divisors, whose sum is σ = 463635912960. Its totient is φ = 45103288320.

The previous prime is 149756260919. The next prime is 149756261027. The reversal of 149756260968 is 869062657941.

149756260968 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 562 + 6 + 0 + 9 + 68 = 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 775939080 + ... + 775939272.

It is an arithmetic number, because the mean of its divisors is an integer number (965908152).

Almost surely, 2^149756260968 is an apocalyptic number.

149756260968 is a gapful number since it is divisible by the number (18) 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 149756260968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231817956480).

149756260968 is an abundant number, since it is smaller than the sum of its proper divisors (313879651992).

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

149756260968 is a wasteful number, since it uses less digits than its factorization.

149756260968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 149756260968 in words is "one hundred forty-nine billion, seven hundred fifty-six million, two hundred sixty thousand, nine hundred sixty-eight".