149657472 has 96 divisors (see below), whose sum is σ = 433840680. Its totient is φ = 49517568.

The previous prime is 149657467. The next prime is 149657483. The reversal of 149657472 is 274756941.

149657472 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 574 + 72 = 666.

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

Its product of digits (423360) is a multiple of the sum of its prime factors (980).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187378 + ... + 188174.

Almost surely, 2^149657472 is an apocalyptic number.

149657472 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 149657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216920340).

149657472 is an abundant number, since it is smaller than the sum of its proper divisors (284183208).

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

149657472 is a wasteful number, since it uses less digits than its factorization.

149657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 149657472 is about 12233.4570747602. The cubic root of 149657472 is about 530.9245426734.

The spelling of 149657472 in words is "one hundred forty-nine million, six hundred fifty-seven thousand, four hundred seventy-two".