150687398400 has 1440 divisors, whose sum is σ = 646238888064. Its totient is φ = 30277632000.

The previous prime is 150687398399. The next prime is 150687398413. The reversal of 150687398400 is 4893786051.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1333516744 + ... + 1333516856.

Almost surely, 2^150687398400 is an apocalyptic number.

150687398400 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 150687398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323119444032).

150687398400 is an abundant number, since it is smaller than the sum of its proper divisors (495551489664).

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

150687398400 is a wasteful number, since it uses less digits than its factorization.

150687398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 150687398400 in words is "one hundred fifty billion, six hundred eighty-seven million, three hundred ninety-eight thousand, four hundred".