1345153440 has 48 divisors (see below), whose sum is σ = 4237234848. Its totient is φ = 358707456.

The previous prime is 1345153399. The next prime is 1345153471. The reversal of 1345153440 is 443515431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1345153398 and 1345153407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1400722 + ... + 1401681.

It is an arithmetic number, because the mean of its divisors is an integer number (88275726).

Almost surely, 2^1345153440 is an apocalyptic number.

1345153440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345153440 is an abundant number, since it is smaller than the sum of its proper divisors (2892081408).

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

1345153440 is a wasteful number, since it uses less digits than its factorization.

1345153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802421 (or 2802413 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1345153440 is about 36676.3335135888. Note that the first 3 decimals coincide. The cubic root of 1345153440 is about 1103.8852800350.

Adding to 1345153440 its reverse (443515431), we get a palindrome (1788668871).

The spelling of 1345153440 in words is "one billion, three hundred forty-five million, one hundred fifty-three thousand, four hundred forty".