149661388800 has 2496 divisors, whose sum is σ = 741043046400. Its totient is φ = 28665446400.

The previous prime is 149661388787. The next prime is 149661388801. The reversal of 149661388800 is 8883166941.

149661388800 is a `hidden beast` number, since 14 + 9 + 6 + 613 + 8 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149661388801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4044902382 + ... + 4044902418.

Almost surely, 2^149661388800 is an apocalyptic number.

149661388800 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 149661388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370521523200).

149661388800 is an abundant number, since it is smaller than the sum of its proper divisors (591381657600).

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

149661388800 is a wasteful number, since it uses less digits than its factorization.

149661388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 149661388800 in words is "one hundred forty-nine billion, six hundred sixty-one million, three hundred eighty-eight thousand, eight hundred".