132124032002400 has 72 divisors (see below), whose sum is σ = 430063724175624. Its totient is φ = 35233075200000.

The previous prime is 132124032002387. The next prime is 132124032002423. The reversal of 132124032002400 is 4200230421231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27525837601 + ... + 27525842400.

It is an arithmetic number, because the mean of its divisors is an integer number (5973107280217).

Almost surely, 2^{132124032002400} is an apocalyptic number.

132124032002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132124032002400 is an abundant number, since it is smaller than the sum of its proper divisors (297939692173224).

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

132124032002400 is a wasteful number, since it uses less digits than its factorization.

132124032002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55051680024 (or 55051680011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132124032002400 its reverse (4200230421231), we get a palindrome (136324262423631).

The spelling of 132124032002400 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, thirty-two million, two thousand, four hundred".