149290752 has 144 divisors (see below), whose sum is σ = 450988160. Its totient is φ = 43462656.

The previous prime is 149290751. The next prime is 149290759. The reversal of 149290752 is 257092941.

149290752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 149290752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149290751) 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, 189303 + ... + 190089.

Almost surely, 2^149290752 is an apocalyptic number.

149290752 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 149290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225494080).

149290752 is an abundant number, since it is smaller than the sum of its proper divisors (301697408).

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

149290752 is a wasteful number, since it uses less digits than its factorization.

149290752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 149290752 is about 12218.4594773646. The cubic root of 149290752 is about 530.4905296040.

The spelling of 149290752 in words is "one hundred forty-nine million, two hundred ninety thousand, seven hundred fifty-two".