149998976400 has 1440 divisors, whose sum is σ = 647643270400. Its totient is φ = 29479403520.

The previous prime is 149998976399. The next prime is 149998976539. The reversal of 149998976400 is 4679899941.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1546381152 + ... + 1546381248.

Almost surely, 2^149998976400 is an apocalyptic number.

149998976400 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 149998976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323821635200).

149998976400 is an abundant number, since it is smaller than the sum of its proper divisors (497644294000).

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

149998976400 is a wasteful number, since it uses less digits than its factorization.

149998976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 149998976400 in words is "one hundred forty-nine billion, nine hundred ninety-eight million, nine hundred seventy-six thousand, four hundred".