149934769920 has 1728 divisors, whose sum is σ = 642829824000. Its totient is φ = 31882346496.

The previous prime is 149934769909. The next prime is 149934769979. The reversal of 149934769920 is 29967439941.

149934769920 is a `hidden beast` number, since 1 + 499 + 34 + 7 + 6 + 99 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1897908441 + ... + 1897908519.

It is an arithmetic number, because the mean of its divisors is an integer number (372008000).

Almost surely, 2^149934769920 is an apocalyptic number.

149934769920 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 149934769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912000).

149934769920 is an abundant number, since it is smaller than the sum of its proper divisors (492895054080).

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

149934769920 is a wasteful number, since it uses less digits than its factorization.

149934769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 149934769920 in words is "one hundred forty-nine billion, nine hundred thirty-four million, seven hundred sixty-nine thousand, nine hundred twenty".