149920921920 has 896 divisors, whose sum is σ = 640502525952. Its totient is φ = 28753920000.

The previous prime is 149920921897. The next prime is 149920921939. The reversal of 149920921920 is 29129029941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149920921920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66600795 + ... + 66603045.

Almost surely, 2^149920921920 is an apocalyptic number.

149920921920 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 149920921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320251262976).

149920921920 is an abundant number, since it is smaller than the sum of its proper divisors (490581604032).

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

149920921920 is a wasteful number, since it uses less digits than its factorization.

149920921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The spelling of 149920921920 in words is "one hundred forty-nine billion, nine hundred twenty million, nine hundred twenty-one thousand, nine hundred twenty".