15132258129408 has 640 divisors, whose sum is σ = 48554035200000. Its totient is φ = 4094555553792.

The previous prime is 15132258129389. The next prime is 15132258129433. The reversal of 15132258129408 is 80492185223151.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18386704485 + ... + 18386705307.

It is an arithmetic number, because the mean of its divisors is an integer number (75865680000).

Almost surely, 2^{15132258129408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15132258129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277017600000).

15132258129408 is an abundant number, since it is smaller than the sum of its proper divisors (33421777070592).

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

15132258129408 is a wasteful number, since it uses less digits than its factorization.

15132258129408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 15132258129408 in words is "fifteen trillion, one hundred thirty-two billion, two hundred fifty-eight million, one hundred twenty-nine thousand, four hundred eight".