150015163147200 has 2352 divisors, whose sum is σ = 651467731896576. Its totient is φ = 33631734988800.

The previous prime is 150015163147153. The next prime is 150015163147237. The reversal of 150015163147200 is 2741361510051.

150015163147200 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 15 + 1 + 631 + 4 + 7 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7990997014 + ... + 7991015786.

It is an arithmetic number, because the mean of its divisors is an integer number (276984579888).

Almost surely, 2^{150015163147200} is an apocalyptic number.

150015163147200 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 150015163147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325733865948288).

150015163147200 is an abundant number, since it is smaller than the sum of its proper divisors (501452568749376).

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

150015163147200 is a wasteful number, since it uses less digits than its factorization.

150015163147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18874 (or 18844 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 150015163147200 in words is "one hundred fifty trillion, fifteen billion, one hundred sixty-three million, one hundred forty-seven thousand, two hundred".