149713855200 has 2268 divisors, whose sum is σ = 712522083168. Its totient is φ = 30569011200.

The previous prime is 149713855157. The next prime is 149713855237. The reversal of 149713855200 is 2558317941.

149713855200 is a `hidden beast` number, since 1 + 4 + 97 + 1 + 3 + 8 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 4829479185 + ... + 4829479215.

It is an arithmetic number, because the mean of its divisors is an integer number (314163176).

Almost surely, 2^149713855200 is an apocalyptic number.

149713855200 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 149713855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356261041584).

149713855200 is an abundant number, since it is smaller than the sum of its proper divisors (562808227968).

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

149713855200 is a wasteful number, since it uses less digits than its factorization.

149713855200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 149713855200 in words is "one hundred forty-nine billion, seven hundred thirteen million, eight hundred fifty-five thousand, two hundred".