149778432 has 156 divisors (see below), whose sum is σ = 460006560. Its totient is φ = 46792704.

The previous prime is 149778427. The next prime is 149778437. The reversal of 149778432 is 234877941.

149778432 is a `hidden beast` number, since 149 + 7 + 78 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (149778427) and next prime (149778437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149778437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626569 + ... + 626807.

It is an arithmetic number, because the mean of its divisors is an integer number (2948760).

Almost surely, 2^149778432 is an apocalyptic number.

149778432 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 149778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230003280).

149778432 is an abundant number, since it is smaller than the sum of its proper divisors (310228128).

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

149778432 is a wasteful number, since it uses less digits than its factorization.

149778432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 149778432 is about 12238.3998954112. The cubic root of 149778432 is about 531.0675433036.

It can be divided in two parts, 14977 and 8432, that added together give a square (23409 = 153²).

The spelling of 149778432 in words is "one hundred forty-nine million, seven hundred seventy-eight thousand, four hundred thirty-two".