149947902720 has 2592 divisors, whose sum is σ = 732825999360. Its totient is φ = 27869184000.

The previous prime is 149947902697. The next prime is 149947902721. The reversal of 149947902720 is 27209749941.

149947902720 is a `hidden beast` number, since 1 + 499 + 47 + 90 + 2 + 7 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (149947902721) 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 287 ways as a sum of consecutive naturals, for example, 3657265900 + ... + 3657265940.

It is an arithmetic number, because the mean of its divisors is an integer number (282726080).

Almost surely, 2^149947902720 is an apocalyptic number.

149947902720 is a gapful number since it is divisible by the number (10) 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 149947902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366412999680).

149947902720 is an abundant number, since it is smaller than the sum of its proper divisors (582878096640).

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

149947902720 is a wasteful number, since it uses less digits than its factorization.

149947902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 149947902720 in words is "one hundred forty-nine billion, nine hundred forty-seven million, nine hundred two thousand, seven hundred twenty".