149869976256 has 1008 divisors, whose sum is σ = 596478774528. Its totient is φ = 35359027200.

The previous prime is 149869976173. The next prime is 149869976257. The reversal of 149869976256 is 652679968941.

149869976256 is a `hidden beast` number, since 1 + 498 + 69 + 9 + 76 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×149869976256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (352719360) is a multiple of the sum of its prime divisors (630).

It is not an unprimeable number, because it can be changed into a prime (149869976257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286558011 + ... + 286558533.

It is an arithmetic number, because the mean of its divisors is an integer number (591744816).

Almost surely, 2^149869976256 is an apocalyptic number.

149869976256 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 149869976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298239387264).

149869976256 is an abundant number, since it is smaller than the sum of its proper divisors (446608798272).

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

149869976256 is a wasteful number, since it uses less digits than its factorization.

149869976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 149869976256 in words is "one hundred forty-nine billion, eight hundred sixty-nine million, nine hundred seventy-six thousand, two hundred fifty-six".