149084032 has 64 divisors (see below), whose sum is σ = 318240000. Its totient is φ = 69355008.

The previous prime is 149084029. The next prime is 149084057. The reversal of 149084032 is 230480941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 149083985 and 149084003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142969 + ... + 144007.

It is an arithmetic number, because the mean of its divisors is an integer number (4972500).

Almost surely, 2^149084032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120000).

149084032 is an abundant number, since it is smaller than the sum of its proper divisors (169155968).

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

149084032 is a wasteful number, since it uses less digits than its factorization.

149084032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 149084032 is about 12209.9972153969. The cubic root of 149084032 is about 530.2455631970.

The spelling of 149084032 in words is "one hundred forty-nine million, eighty-four thousand, thirty-two".