149933520 has 180 divisors, whose sum is σ = 553784868. Its totient is φ = 36326400.

The previous prime is 149933513. The next prime is 149933521. The reversal of 149933520 is 25339941.

It is a happy number.

149933520 is a `hidden beast` number, since 1 + 49 + 93 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 66977856 = 9108^2 + 8184^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149933521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86260 + ... + 87980.

Almost surely, 2^149933520 is an apocalyptic number.

149933520 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 149933520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276892434).

149933520 is an abundant number, since it is smaller than the sum of its proper divisors (403851348).

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

149933520 is a wasteful number, since it uses less digits than its factorization.

149933520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 149933520 is about 12244.7343784992. The cubic root of 149933520 is about 531.2507779458.

The spelling of 149933520 in words is "one hundred forty-nine million, nine hundred thirty-three thousand, five hundred twenty".