150891400 has 96 divisors (see below), whose sum is σ = 386894880. Its totient is φ = 54272000.

The previous prime is 150891397. The next prime is 150891463. The reversal of 150891400 is 4198051.

It is a happy number.

It is a hoax number, since the sum of its digits (28) 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 23 ways as a sum of consecutive naturals, for example, 235080 + ... + 235720.

It is an arithmetic number, because the mean of its divisors is an integer number (4030155).

Almost surely, 2^150891400 is an apocalyptic number.

150891400 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 150891400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193447440).

150891400 is an abundant number, since it is smaller than the sum of its proper divisors (236003480).

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

150891400 is a wasteful number, since it uses less digits than its factorization.

150891400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 150891400 is about 12283.7860613086. The cubic root of 150891400 is about 532.3797108296.

The spelling of 150891400 in words is "one hundred fifty million, eight hundred ninety-one thousand, four hundred".