150788112384000 has 2816 divisors, whose sum is σ = 644889185740800. Its totient is φ = 31074759475200.

The previous prime is 150788112383999. The next prime is 150788112384059. The reversal of 150788112384000 is 483211887051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3506700287979 + ... + 3506700288021.

It is an arithmetic number, because the mean of its divisors is an integer number (229008943800).

Almost surely, 2^{150788112384000} is an apocalyptic number.

150788112384000 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 150788112384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322444592870400).

150788112384000 is an abundant number, since it is smaller than the sum of its proper divisors (494101073356800).

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

150788112384000 is an frugal number, since it uses more digits than its factorization.

150788112384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 150788112384000 in words is "one hundred fifty trillion, seven hundred eighty-eight billion, one hundred twelve million, three hundred eighty-four thousand".