132514461293760 has 1792 divisors, whose sum is σ = 600825583411200. Its totient is φ = 26723537584128.

The previous prime is 132514461293759. The next prime is 132514461293761. The reversal of 132514461293760 is 67392164415231.

132514461293760 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 1 + 446 + 129 + 3 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132514461293759) and next prime (132514461293761).

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

It is a junction number, because it is equal to n+sod(n) for n = 132514461293697 and 132514461293706.

It is not an unprimeable number, because it can be changed into a prime (132514461293761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42622855086 + ... + 42622858194.

It is an arithmetic number, because the mean of its divisors is an integer number (335282133600).

Almost surely, 2^{132514461293760} is an apocalyptic number.

132514461293760 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 132514461293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300412791705600).

132514461293760 is an abundant number, since it is smaller than the sum of its proper divisors (468311122117440).

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

132514461293760 is a wasteful number, since it uses less digits than its factorization.

132514461293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 132514461293760 in words is "one hundred thirty-two trillion, five hundred fourteen billion, four hundred sixty-one million, two hundred ninety-three thousand, seven hundred sixty".