149890320 has 120 divisors (see below), whose sum is σ = 505603800. Its totient is φ = 39794688.

The previous prime is 149890291. The next prime is 149890327. The reversal of 149890320 is 23098941.

It can be written as a sum of positive squares in 4 ways, for example, as 67371264 + 82519056 = 8208^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (149890327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294226 + ... + 294734.

It is an arithmetic number, because the mean of its divisors is an integer number (4213365).

Almost surely, 2^149890320 is an apocalyptic number.

149890320 is a gapful number since it is divisible by the number (10) 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 149890320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252801900).

149890320 is an abundant number, since it is smaller than the sum of its proper divisors (355713480).

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

149890320 is a wasteful number, since it uses less digits than its factorization.

149890320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149890320 is about 12242.9702278491. The cubic root of 149890320 is about 531.1997503567.

The spelling of 149890320 in words is "one hundred forty-nine million, eight hundred ninety thousand, three hundred twenty".