1357515104 has 48 divisors (see below), whose sum is σ = 2941459920. Its totient is φ = 611573760.

The previous prime is 1357515083. The next prime is 1357515149. The reversal of 1357515104 is 4015157531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22712 + ... + 56840.

It is an arithmetic number, because the mean of its divisors is an integer number (61280415).

Almost surely, 2^1357515104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470729960).

1357515104 is an abundant number, since it is smaller than the sum of its proper divisors (1583944816).

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

1357515104 is a wasteful number, since it uses less digits than its factorization.

1357515104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34263 (or 34255 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 1357515104 is about 36844.4718241421. The cubic root of 1357515104 is about 1107.2564617954.

The spelling of 1357515104 in words is "one billion, three hundred fifty-seven million, five hundred fifteen thousand, one hundred four".