149702400 has 324 divisors, whose sum is σ = 563432688. Its totient is φ = 37847040.

The previous prime is 149702359. The next prime is 149702401. The reversal of 149702400 is 4207941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149702401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324744 + ... + 1324856.

Almost surely, 2^149702400 is an apocalyptic number.

149702400 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 149702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281716344).

149702400 is an abundant number, since it is smaller than the sum of its proper divisors (413730288).

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

149702400 is a wasteful number, since it uses less digits than its factorization.

149702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 149702400 is about 12235.2932126696. The cubic root of 149702400 is about 530.9776661848.

The spelling of 149702400 in words is "one hundred forty-nine million, seven hundred two thousand, four hundred".