149921928 has 180 divisors, whose sum is σ = 467328015. Its totient is φ = 44883072.

The previous prime is 149921927. The next prime is 149921999. The reversal of 149921928 is 829129941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 84603204 + 65318724 = 9198^2 + 8082^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8658.

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

It is not an unprimeable number, because it can be changed into a prime (149921927) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4051926 + ... + 4051962.

Almost surely, 2^149921928 is an apocalyptic number.

149921928 is a gapful number since it is divisible by the number (18) 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 149921928

149921928 is an abundant number, since it is smaller than the sum of its proper divisors (317406087).

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

149921928 is a wasteful number, since it uses less digits than its factorization.

149921928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 55 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 149921928 is about 12244.2610230263. The cubic root of 149921928 is about 531.2370865050.

Multiplying 149921928 by its product of digits (93312), we get a square (13989514945536 = 3740256²).

The spelling of 149921928 in words is "one hundred forty-nine million, nine hundred twenty-one thousand, nine hundred twenty-eight".