150890906400 has 432 divisors, whose sum is σ = 533582411040. Its totient is φ = 37020672000.

The previous prime is 150890906381. The next prime is 150890906423. The reversal of 150890906400 is 4609098051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243765291 + ... + 243765909.

It is an arithmetic number, because the mean of its divisors is an integer number (1235144470).

Almost surely, 2^150890906400 is an apocalyptic number.

150890906400 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 150890906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266791205520).

150890906400 is an abundant number, since it is smaller than the sum of its proper divisors (382691504640).

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

150890906400 is a wasteful number, since it uses less digits than its factorization.

150890906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 150890906400 in words is "one hundred fifty billion, eight hundred ninety million, nine hundred six thousand, four hundred".