149742432 has 252 divisors, whose sum is σ = 518095116. Its totient is φ = 42456960.

The previous prime is 149742427. The next prime is 149742433. The reversal of 149742432 is 234247941.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149742433) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 1143007 + ... + 1143137.

It is an arithmetic number, because the mean of its divisors is an integer number (2055933).

Almost surely, 2^149742432 is an apocalyptic number.

149742432 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 149742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259047558).

149742432 is an abundant number, since it is smaller than the sum of its proper divisors (368352684).

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

149742432 is an equidigital number, since it uses as much as digits as its factorization.

149742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 149742432 is about 12236.9290265164. The cubic root of 149742432 is about 531.0249916419.

The spelling of 149742432 in words is "one hundred forty-nine million, seven hundred forty-two thousand, four hundred thirty-two".