149973432 has 128 divisors (see below), whose sum is σ = 459648000. Its totient is φ = 39840768.

The previous prime is 149973401. The next prime is 149973433. The reversal of 149973432 is 234379941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149973433) 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 31 ways as a sum of consecutive naturals, for example, 142444 + ... + 143492.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^149973432 is an apocalyptic number.

149973432 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 149973432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

149973432 is an abundant number, since it is smaller than the sum of its proper divisors (309674568).

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

149973432 is a wasteful number, since it uses less digits than its factorization.

149973432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 149973432 is about 12246.3640318259. The cubic root of 149973432 is about 531.2979130581.

The spelling of 149973432 in words is "one hundred forty-nine million, nine hundred seventy-three thousand, four hundred thirty-two".