149990400 has 528 divisors, whose sum is σ = 649799680. Its totient is φ = 33177600.

The previous prime is 149990359. The next prime is 149990413. The reversal of 149990400 is 4099941.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4838385 + ... + 4838415.

Almost surely, 2^149990400 is an apocalyptic number.

149990400 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 149990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324899840).

149990400 is an abundant number, since it is smaller than the sum of its proper divisors (499809280).

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

149990400 is a wasteful number, since it uses less digits than its factorization.

149990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 149990400 is about 12247.0567892862. The cubic root of 149990400 is about 531.3179493247.

The spelling of 149990400 in words is "one hundred forty-nine million, nine hundred ninety thousand, four hundred".