149735520 has 384 divisors, whose sum is σ = 600929280. Its totient is φ = 34467840.

The previous prime is 149735513. The next prime is 149735527. The reversal of 149735520 is 25537941.

149735520 is a `hidden beast` number, since 14 + 97 + 3 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149735513) and next prime (149735527).

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 (149735527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092892 + ... + 1093028.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 2^149735520 is an apocalyptic number.

149735520 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 149735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300464640).

149735520 is an abundant number, since it is smaller than the sum of its proper divisors (451193760).

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

149735520 is a wasteful number, since it uses less digits than its factorization.

149735520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

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

The square root of 149735520 is about 12236.6465994569. The cubic root of 149735520 is about 531.0168209425.

The spelling of 149735520 in words is "one hundred forty-nine million, seven hundred thirty-five thousand, five hundred twenty".