1345372512 has 96 divisors (see below), whose sum is σ = 3861768960. Its totient is φ = 406725120.

The previous prime is 1345372493. The next prime is 1345372513. The reversal of 1345372512 is 2152735431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345372513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536253 + ... + 538755.

It is an arithmetic number, because the mean of its divisors is an integer number (40226760).

Almost surely, 2^1345372512 is an apocalyptic number.

1345372512 is a gapful number since it is divisible by the number (12) 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 1345372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930884480).

1345372512 is an abundant number, since it is smaller than the sum of its proper divisors (2516396448).

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

1345372512 is a wasteful number, since it uses less digits than its factorization.

1345372512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3028 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 1345372512 is about 36679.3199500754. The cubic root of 1345372512 is about 1103.9452031193.

The spelling of 1345372512 in words is "one billion, three hundred forty-five million, three hundred seventy-two thousand, five hundred twelve".