132400015100253 has 48 divisors (see below), whose sum is σ = 194598814924800. Its totient is φ = 86732508360960.

The previous prime is 132400015100029. The next prime is 132400015100261. The reversal of 132400015100253 is 352001510004231.

132400015100253 is a `hidden beast` number, since 1 + 3 + 2 + 400 + 0 + 1 + 5 + 1 + 0 + 0 + 253 = 666.

It is not a de Polignac number, because 132400015100253 - 2¹⁸ = 132400014838109 is a prime.

It is a super-4 number, since 4×132400015100253⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400015100263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303899188 + ... + 304334546.

It is an arithmetic number, because the mean of its divisors is an integer number (4054141977600).

Almost surely, 2^{132400015100253} is an apocalyptic number.

It is an amenable number.

132400015100253 is a deficient number, since it is larger than the sum of its proper divisors (62198799824547).

132400015100253 is a wasteful number, since it uses less digits than its factorization.

132400015100253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438042 (or 438039 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 132400015100253 its reverse (352001510004231), we get a palindrome (484401525104484).

The spelling of 132400015100253 in words is "one hundred thirty-two trillion, four hundred billion, fifteen million, one hundred thousand, two hundred fifty-three".