149713920 has 330 divisors, whose sum is σ = 566212482. Its totient is φ = 37822464.

The previous prime is 149713909. The next prime is 149713957. The reversal of 149713920 is 29317941.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 29942784 = 10944^2 + 5472^2 .

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7879671 + ... + 7879689.

Almost surely, 2^149713920 is an apocalyptic number.

149713920 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 149713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283106241).

149713920 is an abundant number, since it is smaller than the sum of its proper divisors (416498562).

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

149713920 is an equidigital number, since it uses as much as digits as its factorization.

149713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

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

The square root of 149713920 is about 12235.7639728788. The cubic root of 149713920 is about 530.9912858859.

The spelling of 149713920 in words is "one hundred forty-nine million, seven hundred thirteen thousand, nine hundred twenty".