150616800000 has 864 divisors, whose sum is σ = 587612390400. Its totient is φ = 37946880000.

The previous prime is 150616799989. The next prime is 150616800017. The reversal of 150616800000 is 8616051.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410399817 + ... + 410400183.

Almost surely, 2^150616800000 is an apocalyptic number.

150616800000 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 150616800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293806195200).

150616800000 is an abundant number, since it is smaller than the sum of its proper divisors (436995590400).

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

150616800000 is an frugal number, since it uses more digits than its factorization.

150616800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 150616800000 in words is "one hundred fifty billion, six hundred sixteen million, eight hundred thousand".