132415251260700 has 288 divisors, whose sum is σ = 409920766766784. Its totient is φ = 32884540047360.

The previous prime is 132415251260587. The next prime is 132415251260707. The reversal of 132415251260700 is 7062152514231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132415251260707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2816303592 + ... + 2816350608.

It is an arithmetic number, because the mean of its divisors is an integer number (1423335995718).

Almost surely, 2^{132415251260700} is an apocalyptic number.

132415251260700 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 132415251260700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204960383383392).

132415251260700 is an abundant number, since it is smaller than the sum of its proper divisors (277505515506084).

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

132415251260700 is a wasteful number, since it uses less digits than its factorization.

132415251260700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52841 (or 52834 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 132415251260700 in words is "one hundred thirty-two trillion, four hundred fifteen billion, two hundred fifty-one million, two hundred sixty thousand, seven hundred".