132251513256450 has 144 divisors (see below), whose sum is σ = 406081797690816. Its totient is φ = 30228420412800.

The previous prime is 132251513256433. The next prime is 132251513256451. The reversal of 132251513256450 is 54652315152231.

132251513256450 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 1 + 5 + 1 + 32 + 564 + 50 = 666.

It is a super-3 number, since 3×132251513256450³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132251513256396 and 132251513256405.

It is not an unprimeable number, because it can be changed into a prime (132251513256451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212064789 + ... + 212687511.

It is an arithmetic number, because the mean of its divisors is an integer number (2820012483964).

Almost surely, 2^{132251513256450} is an apocalyptic number.

132251513256450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132251513256450 is an abundant number, since it is smaller than the sum of its proper divisors (273830284434366).

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

132251513256450 is a wasteful number, since it uses less digits than its factorization.

132251513256450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690169 (or 690161 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 132251513256450 in words is "one hundred thirty-two trillion, two hundred fifty-one billion, five hundred thirteen million, two hundred fifty-six thousand, four hundred fifty".