149654400 has 384 divisors, whose sum is σ = 601032960. Its totient is φ = 31948800.

The previous prime is 149654389. The next prime is 149654423. The reversal of 149654400 is 4456941.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142335 + ... + 1142465.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 2^149654400 is an apocalyptic number.

149654400 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 149654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

149654400 is an abundant number, since it is smaller than the sum of its proper divisors (451378560).

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

149654400 is a wasteful number, since it uses less digits than its factorization.

149654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 149654400 is about 12233.3315168028. The cubic root of 149654400 is about 530.9209099082.

The spelling of 149654400 in words is "one hundred forty-nine million, six hundred fifty-four thousand, four hundred".