149080200192 has 704 divisors, whose sum is σ = 554635468800. Its totient is φ = 38428508160.

The previous prime is 149080200167. The next prime is 149080200209. The reversal of 149080200192 is 291002080941.

149080200192 is a `hidden beast` number, since 1 + 490 + 80 + 2 + 0 + 0 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508805998 + ... + 508806290.

Almost surely, 2^149080200192 is an apocalyptic number.

149080200192 is a gapful number since it is divisible by the number (12) 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 149080200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277317734400).

149080200192 is an abundant number, since it is smaller than the sum of its proper divisors (405555268608).

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

149080200192 is a wasteful number, since it uses less digits than its factorization.

149080200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 149080200192 in words is "one hundred forty-nine billion, eighty million, two hundred thousand, one hundred ninety-two".