149113036800 has 1512 divisors, whose sum is σ = 674390336256. Its totient is φ = 31213486080.

The previous prime is 149113036777. The next prime is 149113036829. The reversal of 149113036800 is 8630311941.

149113036800 is a `hidden beast` number, since 1 + 491 + 130 + 36 + 8 + 0 + 0 = 666.

149113036800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1174118337 + ... + 1174118463.

Almost surely, 2^149113036800 is an apocalyptic number.

149113036800 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 149113036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337195168128).

149113036800 is an abundant number, since it is smaller than the sum of its proper divisors (525277299456).

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

149113036800 is a wasteful number, since it uses less digits than its factorization.

149113036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 149113036800 in words is "one hundred forty-nine billion, one hundred thirteen million, thirty-six thousand, eight hundred".