29360137104 has 135 divisors (see below), whose sum is σ = 83566226289. Its totient is φ = 9622903680.

The previous prime is 29360137073. The next prime is 29360137111. The reversal of 29360137104 is 40173106392.

The square root of 29360137104 is 171348.

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

29360137104 is a `hidden beast` number, since 2 + 9 + 3 + 601 + 37 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20463874704 + 8896262400 = 143052^2 + 94320^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224123119 + ... + 224123249.

Almost surely, 2^29360137104 is an apocalyptic number.

29360137104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29360137104 is the 171348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29360137104

29360137104 is an abundant number, since it is smaller than the sum of its proper divisors (54206089185).

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

29360137104 is a wasteful number, since it uses less digits than its factorization.

29360137104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 29360137104 by its sum of digits (36), we get a square (1056964935744 = 1028088²).

29360137104 divided by its sum of digits (36) gives a square (815559364 = 28558²).

It can be divided in two parts, 29360 and 137104, that added together give a square (166464 = 408²).

The spelling of 29360137104 in words is "twenty-nine billion, three hundred sixty million, one hundred thirty-seven thousand, one hundred four".