150800832000 has 1920 divisors, whose sum is σ = 702978756480. Its totient is φ = 31585075200.

The previous prime is 150800831963. The next prime is 150800832011. The reversal of 150800832000 is 238008051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1100735932 + ... + 1100736068.

It is an arithmetic number, because the mean of its divisors is an integer number (366134769).

Almost surely, 2^150800832000 is an apocalyptic number.

150800832000 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 150800832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351489378240).

150800832000 is an abundant number, since it is smaller than the sum of its proper divisors (552177924480).

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

150800832000 is a wasteful number, since it uses less digits than its factorization.

150800832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 150800832000 in words is "one hundred fifty billion, eight hundred million, eight hundred thirty-two thousand".