15132119048640 has 672 divisors, whose sum is σ = 60147059970816. Its totient is φ = 3451041054720.

The previous prime is 15132119048597. The next prime is 15132119048659. The reversal of 15132119048640 is 4684091123151.

15132119048640 is a `hidden beast` number, since 1 + 5 + 1 + 32 + 11 + 90 + 486 + 40 = 666.

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

It is a congruent number.

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, 1531121139 + ... + 1531131021.

It is an arithmetic number, because the mean of its divisors is an integer number (89504553528).

Almost surely, 2^{15132119048640} is an apocalyptic number.

15132119048640 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 15132119048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073529985408).

15132119048640 is an abundant number, since it is smaller than the sum of its proper divisors (45014940922176).

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

15132119048640 is a wasteful number, since it uses less digits than its factorization.

15132119048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12777 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 15132119048640 in words is "fifteen trillion, one hundred thirty-two billion, one hundred nineteen million, forty-eight thousand, six hundred forty".