149357520 has 280 divisors, whose sum is σ = 563542056. Its totient is φ = 36578304.

The previous prime is 149357513. The next prime is 149357531. The reversal of 149357520 is 25753941.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 121352256 = 5292^2 + 11016^2 .

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 55 ways as a sum of consecutive naturals, for example, 758062 + ... + 758258.

Almost surely, 2^149357520 is an apocalyptic number.

149357520 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 149357520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281771028).

149357520 is an abundant number, since it is smaller than the sum of its proper divisors (414184536).

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

149357520 is a wasteful number, since it uses less digits than its factorization.

149357520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 149357520 is about 12221.1914312803. The cubic root of 149357520 is about 530.5696024025.

The spelling of 149357520 in words is "one hundred forty-nine million, three hundred fifty-seven thousand, five hundred twenty".