149420400 has 120 divisors (see below), whose sum is σ = 490479024. Its totient is φ = 38860800.

The previous prime is 149420357. The next prime is 149420417. The reversal of 149420400 is 4024941.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47682 + ... + 50718.

Almost surely, 2^149420400 is an apocalyptic number.

149420400 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 149420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245239512).

149420400 is an abundant number, since it is smaller than the sum of its proper divisors (341058624).

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

149420400 is a wasteful number, since it uses less digits than its factorization.

149420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 149420400 is about 12223.7637411724. The cubic root of 149420400 is about 530.6440491302.

The spelling of 149420400 in words is "one hundred forty-nine million, four hundred twenty thousand, four hundred".