1345125362400 has 108 divisors (see below), whose sum is σ = 4743248334552. Its totient is φ = 358700094720.

The previous prime is 1345125362387. The next prime is 1345125362411. The reversal of 1345125362400 is 42635215431.

1345125362400 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 25 + 3 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93404284 + ... + 93418683.

Almost surely, 2^{1345125362400} is an apocalyptic number.

1345125362400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345125362400 is an abundant number, since it is smaller than the sum of its proper divisors (3398122972152).

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

1345125362400 is a wasteful number, since it uses less digits than its factorization.

1345125362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186822993 (or 186822977 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1345125362400 in words is "one trillion, three hundred forty-five billion, one hundred twenty-five million, three hundred sixty-two thousand, four hundred".