150891470400 has 336 divisors, whose sum is σ = 541357279488. Its totient is φ = 36491520000.

The previous prime is 150891470383. The next prime is 150891470423. The reversal of 150891470400 is 4074198051.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 23387175 + ... + 23393625.

Almost surely, 2^150891470400 is an apocalyptic number.

150891470400 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 150891470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270678639744).

150891470400 is an abundant number, since it is smaller than the sum of its proper divisors (390465809088).

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

150891470400 is a wasteful number, since it uses less digits than its factorization.

150891470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 150891470400 in words is "one hundred fifty billion, eight hundred ninety-one million, four hundred seventy thousand, four hundred".