149790432 has 96 divisors (see below), whose sum is σ = 434367360. Its totient is φ = 44817920.

The previous prime is 149790397. The next prime is 149790437. The reversal of 149790432 is 234097941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149790437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86794 + ... + 88502.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^149790432 is an apocalyptic number.

149790432 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 149790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

149790432 is an abundant number, since it is smaller than the sum of its proper divisors (284576928).

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

149790432 is a wasteful number, since it uses less digits than its factorization.

With its successor (149790433) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1816).

149790432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 149790432 is about 12238.8901457608. The cubic root of 149790432 is about 531.0817256756.

The spelling of 149790432 in words is "one hundred forty-nine million, seven hundred ninety thousand, four hundred thirty-two".