13735371204 has 135 divisors (see below), whose sum is σ = 38243245117. Its totient is φ = 4297885056.

The previous prime is 13735371197. The next prime is 13735371217. The reversal of 13735371204 is 40217353731.

The square root of 13735371204 is 117198.

It is a perfect power (a square), and thus also a powerful number.

13735371204 is a `hidden beast` number, since 1 + 37 + 353 + 71 + 204 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10693628100 + 3041743104 = 103410^2 + 55152^2 .

It is a super-2 number, since 2×13735371204² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35862397 + ... + 35862779.

Almost surely, 2^13735371204 is an apocalyptic number.

13735371204 is the 117198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13735371204

13735371204 is an abundant number, since it is smaller than the sum of its proper divisors (24507873913).

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

13735371204 is an equidigital number, since it uses as much as digits as its factorization.

13735371204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Multiplying 13735371204 by its sum of digits (36), we get a square (494473363344 = 703188²).

13735371204 divided by its sum of digits (36) gives a square (381538089 = 19533²).

The spelling of 13735371204 in words is "thirteen billion, seven hundred thirty-five million, three hundred seventy-one thousand, two hundred four".