1373147136 has 117 divisors (see below), whose sum is σ = 3987042969. Its totient is φ = 455344128.

The previous prime is 1373147123. The next prime is 1373147141. The reversal of 1373147136 is 6317413731.

The square root of 1373147136 is 37056.

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

It can be written as a sum of positive squares in only one way, i.e., 332697600 + 1040449536 = 18240^2 + 32256^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1373147136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7114656 + ... + 7114848.

Almost surely, 2^1373147136 is an apocalyptic number.

1373147136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1373147136 is the 37056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373147136

1373147136 is an abundant number, since it is smaller than the sum of its proper divisors (2613895833).

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

1373147136 is an frugal number, since it uses more digits than its factorization.

1373147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 198 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The cubic root of 1373147136 is about 1111.4903380143.

Multiplying 1373147136 by its sum of digits (36), we get a square (49433296896 = 222336²).

1373147136 divided by its sum of digits (36) gives a square (38142976 = 6176²).

The spelling of 1373147136 in words is "one billion, three hundred seventy-three million, one hundred forty-seven thousand, one hundred thirty-six".