150377310720 has 960 divisors, whose sum is σ = 678849050880. Its totient is φ = 29854531584.

The previous prime is 150377310709. The next prime is 150377310739. The reversal of 150377310720 is 27013773051.

150377310720 is a `hidden beast` number, since 1 + 503 + 7 + 73 + 10 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×150377310720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35640771 + ... + 35644989.

It is an arithmetic number, because the mean of its divisors is an integer number (707134428).

Almost surely, 2^150377310720 is an apocalyptic number.

150377310720 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 150377310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339424525440).

150377310720 is an abundant number, since it is smaller than the sum of its proper divisors (528471740160).

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

150377310720 is a wasteful number, since it uses less digits than its factorization.

150377310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 150377310720 in words is "one hundred fifty billion, three hundred seventy-seven million, three hundred ten thousand, seven hundred twenty".