132145553322400 has 36 divisors (see below), whose sum is σ = 322600332050262. Its totient is φ = 52858221328640.

The previous prime is 132145553322397. The next prime is 132145553322401. The reversal of 132145553322400 is 4223355541231.

It can be written as a sum of positive squares in 3 ways, for example, as 114268317812496 + 17877235509904 = 10689636^2 + 4228148^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132145553322401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82590970027 + ... + 82590971626.

Almost surely, 2^{132145553322400} is an apocalyptic number.

132145553322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132145553322400 is an abundant number, since it is smaller than the sum of its proper divisors (190454778727862).

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

132145553322400 is a wasteful number, since it uses less digits than its factorization.

132145553322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165181941673 (or 165181941660 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 132145553322400 in words is "one hundred thirty-two trillion, one hundred forty-five billion, five hundred fifty-three million, three hundred twenty-two thousand, four hundred".