137829428321 has 16 divisors (see below), whose sum is σ = 154234579968. Its totient is φ = 122307624000.

The previous prime is 137829428291. The next prime is 137829428323. The reversal of 137829428321 is 123824928731.

It is a cyclic number.

It is not a de Polignac number, because 137829428321 - 2³⁴ = 120649559137 is a prime.

It is a super-2 number, since 2×137829428321² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137829428321.

It is not an unprimeable number, because it can be changed into a prime (137829428323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071626 + ... + 1193331.

It is an arithmetic number, because the mean of its divisors is an integer number (9639661248).

Almost surely, 2^137829428321 is an apocalyptic number.

It is an amenable number.

137829428321 is a deficient number, since it is larger than the sum of its proper divisors (16405151647).

137829428321 is a wasteful number, since it uses less digits than its factorization.

137829428321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265152.

The product of its digits is 1161216, while the sum is 50.

The spelling of 137829428321 in words is "one hundred thirty-seven billion, eight hundred twenty-nine million, four hundred twenty-eight thousand, three hundred twenty-one".