149901876684 has 288 divisors, whose sum is σ = 466043550336. Its totient is φ = 39653867520.

The previous prime is 149901876659. The next prime is 149901876703. The reversal of 149901876684 is 486678109941.

149901876684 is a `hidden beast` number, since 1 + 499 + 0 + 1 + 8 + 7 + 66 + 84 = 666.

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 95 ways as a sum of consecutive naturals, for example, 75213192 + ... + 75215184.

It is an arithmetic number, because the mean of its divisors is an integer number (1618206772).

Almost surely, 2^149901876684 is an apocalyptic number.

149901876684 is a gapful number since it is divisible by the number (14) 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 149901876684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233021775168).

149901876684 is an abundant number, since it is smaller than the sum of its proper divisors (316141673652).

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

149901876684 is a wasteful number, since it uses less digits than its factorization.

149901876684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 149901876684 in words is "one hundred forty-nine billion, nine hundred one million, eight hundred seventy-six thousand, six hundred eighty-four".