149436672 has 324 divisors, whose sum is σ = 532674576. Its totient is φ = 36771840.

The previous prime is 149436667. The next prime is 149436689. The reversal of 149436672 is 276634941.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (217728) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7865079 + ... + 7865097.

Almost surely, 2^149436672 is an apocalyptic number.

149436672 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 149436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266337288).

149436672 is an abundant number, since it is smaller than the sum of its proper divisors (383237904).

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

149436672 is a wasteful number, since it uses less digits than its factorization.

149436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 149436672 is about 12224.4293118329. The cubic root of 149436672 is about 530.6633109502.

The spelling of 149436672 in words is "one hundred forty-nine million, four hundred thirty-six thousand, six hundred seventy-two".