1345127400 has 144 divisors (see below), whose sum is σ = 4713939360. Its totient is φ = 343094400.

The previous prime is 1345127389. The next prime is 1345127429. The reversal of 1345127400 is 47215431.

1345127400 is a `hidden beast` number, since 134 + 5 + 127 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25155 + ... + 57645.

It is an arithmetic number, because the mean of its divisors is an integer number (32735690).

Almost surely, 2^1345127400 is an apocalyptic number.

1345127400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356969680).

1345127400 is an abundant number, since it is smaller than the sum of its proper divisors (3368811960).

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

1345127400 is a wasteful number, since it uses less digits than its factorization.

1345127400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32536 (or 32524 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1345127400 is about 36675.9785145536. The cubic root of 1345127400 is about 1103.8781568431.

The spelling of 1345127400 in words is "one billion, three hundred forty-five million, one hundred twenty-seven thousand, four hundred".