149929920 has 448 divisors, whose sum is σ = 630082560. Its totient is φ = 32845824.

The previous prime is 149929903. The next prime is 149929933. The reversal of 149929920 is 29929941.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×149929920² = 44957961822412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237727 + ... + 2237793.

Almost surely, 2^149929920 is an apocalyptic number.

149929920 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 149929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315041280).

149929920 is an abundant number, since it is smaller than the sum of its proper divisors (480152640).

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

149929920 is a wasteful number, since it uses less digits than its factorization.

149929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 149929920 is about 12244.5873756530. The cubic root of 149929920 is about 531.2465260211.

The spelling of 149929920 in words is "one hundred forty-nine million, nine hundred twenty-nine thousand, nine hundred twenty".