2142135375400 has 48 divisors (see below), whose sum is σ = 4983021049500. Its totient is φ = 856414356480.

The previous prime is 2142135375397. The next prime is 2142135375449. The reversal of 2142135375400 is 45735312412.

It can be written as a sum of positive squares in 6 ways, for example, as 1406496377764 + 735638997636 = 1185958^2 + 857694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2142135375400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2357937 + ... + 3137536.

Almost surely, 2^{2142135375400} is an apocalyptic number.

2142135375400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142135375400 is an abundant number, since it is smaller than the sum of its proper divisors (2840885674100).

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

2142135375400 is a wasteful number, since it uses less digits than its factorization.

2142135375400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497438 (or 5497429 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 2142135375400 in words is "two trillion, one hundred forty-two billion, one hundred thirty-five million, three hundred seventy-five thousand, four hundred".