15132676450752 has 672 divisors, whose sum is σ = 52936115250240. Its totient is φ = 4225216020480.

The previous prime is 15132676450739. The next prime is 15132676450753. The reversal of 15132676450752 is 25705467623151.

It is a happy number.

15132676450752 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 26 + 7 + 64 + 507 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15132676450753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153310752 + ... + 1153323872.

Almost surely, 2^{15132676450752} is an apocalyptic number.

15132676450752 is a gapful number since it is divisible by the number (12) 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 15132676450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26468057625120).

15132676450752 is an abundant number, since it is smaller than the sum of its proper divisors (37803438799488).

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

15132676450752 is a wasteful number, since it uses less digits than its factorization.

15132676450752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466 (or 13443 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 15132676450752 in words is "fifteen trillion, one hundred thirty-two billion, six hundred seventy-six million, four hundred fifty thousand, seven hundred fifty-two".