149951520 has 192 divisors, whose sum is σ = 531498240. Its totient is φ = 39481344.

The previous prime is 149951497. The next prime is 149951521. The reversal of 149951520 is 25159941.

149951520 is a `hidden beast` number, since 1 + 49 + 95 + 1 + 520 = 666.

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 (149951521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444792 + ... + 445128.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2^149951520 is an apocalyptic number.

149951520 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 149951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265749120).

149951520 is an abundant number, since it is smaller than the sum of its proper divisors (381546720).

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

149951520 is a wasteful number, since it uses less digits than its factorization.

149951520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 149951520 is about 12245.4693662595. The cubic root of 149951520 is about 531.2720365484.

The spelling of 149951520 in words is "one hundred forty-nine million, nine hundred fifty-one thousand, five hundred twenty".