149158400 has 120 divisors (see below), whose sum is σ = 379541184. Its totient is φ = 58060800.

The previous prime is 149158367. The next prime is 149158403. The reversal of 149158400 is 4851941.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (149158403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550265 + ... + 550535.

Almost surely, 2^149158400 is an apocalyptic number.

149158400 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 149158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189770592).

149158400 is an abundant number, since it is smaller than the sum of its proper divisors (230382784).

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

149158400 is an equidigital number, since it uses as much as digits as its factorization.

149158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 149158400 is about 12213.0422090485. The cubic root of 149158400 is about 530.3337164943. Note that the first 3 decimals are identical.

The spelling of 149158400 in words is "one hundred forty-nine million, one hundred fifty-eight thousand, four hundred".