149917320 has 192 divisors, whose sum is σ = 570810240. Its totient is φ = 33408000.

The previous prime is 149917301. The next prime is 149917331. The reversal of 149917320 is 23719941.

149917320 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102595 + ... + 104045.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2^149917320 is an apocalyptic number.

149917320 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 149917320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

149917320 is an abundant number, since it is smaller than the sum of its proper divisors (420892920).

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

149917320 is a wasteful number, since it uses less digits than its factorization.

149917320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149917320 is about 12244.0728517924. The cubic root of 149917320 is about 531.2316437487.

The spelling of 149917320 in words is "one hundred forty-nine million, nine hundred seventeen thousand, three hundred twenty".