150909859900800 has 13824 divisors, whose sum is σ = 850533762355200. Its totient is φ = 25751126016000.

The previous prime is 150909859900763. The next prime is 150909859900883. The reversal of 150909859900800 is 8009958909051.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 3509531625579 + ... + 3509531625621.

It is an arithmetic number, because the mean of its divisors is an integer number (61525879800).

Almost surely, 2^{150909859900800} is an apocalyptic number.

150909859900800 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 150909859900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425266881177600).

150909859900800 is an abundant number, since it is smaller than the sum of its proper divisors (699623902454400).

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

150909859900800 is a wasteful number, since it uses less digits than its factorization.

150909859900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 63.

The spelling of 150909859900800 in words is "one hundred fifty trillion, nine hundred nine billion, eight hundred fifty-nine million, nine hundred thousand, eight hundred".