149542272 has 96 divisors (see below), whose sum is σ = 469483560. Its totient is φ = 45312000.

The previous prime is 149542249. The next prime is 149542291. The reversal of 149542272 is 272245941.

149542272 is a `hidden beast` number, since 1 + 49 + 542 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×149542272² = 44725782229843968, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6772 + ... + 18572.

Almost surely, 2^149542272 is an apocalyptic number.

149542272 is a gapful number since it is divisible by the number (12) 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 149542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234741780).

149542272 is an abundant number, since it is smaller than the sum of its proper divisors (319941288).

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

149542272 is a wasteful number, since it uses less digits than its factorization.

149542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832 (or 11817 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 149542272 is about 12228.7477690890. The cubic root of 149542272 is about 530.7882799426.

The spelling of 149542272 in words is "one hundred forty-nine million, five hundred forty-two thousand, two hundred seventy-two".