36125147504160 has 1920 divisors, whose sum is σ = 151467922045440. Its totient is φ = 7993545523200.

The previous prime is 36125147504143. The next prime is 36125147504183. The reversal of 36125147504160 is 6140574152163.

It is a happy number.

36125147504160 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 514 + 75 + 0 + 4 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 116158030405 + ... + 116158030715.

It is an arithmetic number, because the mean of its divisors is an integer number (78889542732).

Almost surely, 2^{36125147504160} is an apocalyptic number.

36125147504160 is a gapful number since it is divisible by the number (30) 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 36125147504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75733961022720).

36125147504160 is an abundant number, since it is smaller than the sum of its proper divisors (115342774541280).

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

36125147504160 is a wasteful number, since it uses less digits than its factorization.

36125147504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 36125147504160 in words is "thirty-six trillion, one hundred twenty-five billion, one hundred forty-seven million, five hundred four thousand, one hundred sixty".