15132037760064 has 189 divisors, whose sum is σ = 43804282613637. Its totient is φ = 4994376288768.

The previous prime is 15132037760041. The next prime is 15132037760087. The reversal of 15132037760064 is 46006773023151.

The square root of 15132037760064 is 3889992.

It is a perfect power (a square), and thus also a powerful number.

15132037760064 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 2 + 0 + 37 + 7 + 600 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (15132037760041) and next prime (15132037760087).

It can be written as a sum of positive squares in only one way, i.e., 10546957721664 + 4585080038400 = 3247608^2 + 2141280^2 .

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 26 ways as a sum of consecutive naturals, for example, 10176218329 + ... + 10176219815.

Almost surely, 2^{15132037760064} is an apocalyptic number.

15132037760064 is the 3889992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15132037760064

15132037760064 is an abundant number, since it is smaller than the sum of its proper divisors (28672244853573).

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

15132037760064 is an frugal number, since it uses more digits than its factorization.

15132037760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 15132037760064 in words is "fifteen trillion, one hundred thirty-two billion, thirty-seven million, seven hundred sixty thousand, sixty-four".