149520400 has 60 divisors (see below), whose sum is σ = 362877444. Its totient is φ = 59200000.

The previous prime is 149520373. The next prime is 149520419. The reversal of 149520400 is 4025941.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 147962896 = 1248^2 + 12164^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38550 + ... + 42250.

Almost surely, 2^149520400 is an apocalyptic number.

149520400 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 149520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181438722).

149520400 is an abundant number, since it is smaller than the sum of its proper divisors (213357044).

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

149520400 is a wasteful number, since it uses less digits than its factorization.

149520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 149520400 is about 12227.8534502177. The cubic root of 149520400 is about 530.7624010453.

The spelling of 149520400 in words is "one hundred forty-nine million, five hundred twenty thousand, four hundred".