150861415680 has 288 divisors, whose sum is σ = 552621726720. Its totient is φ = 38931701760.

The previous prime is 150861415669. The next prime is 150861415687. The reversal of 150861415680 is 86514168051.

150861415680 is a `hidden beast` number, since 1 + 5 + 0 + 86 + 1 + 4 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150861415687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000954 + ... + 1141766.

It is an arithmetic number, because the mean of its divisors is an integer number (1918825440).

Almost surely, 2^150861415680 is an apocalyptic number.

150861415680 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 150861415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276310863360).

150861415680 is an abundant number, since it is smaller than the sum of its proper divisors (401760311040).

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

150861415680 is a wasteful number, since it uses less digits than its factorization.

150861415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140874 (or 140854 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 150861415680 in words is "one hundred fifty billion, eight hundred sixty-one million, four hundred fifteen thousand, six hundred eighty".