137829532516 has 81 divisors (see below), whose sum is σ = 265628625003. Its totient is φ = 62548873920.

The previous prime is 137829532429. The next prime is 137829532553. The reversal of 137829532516 is 615235928731.

The square root of 137829532516 is 371254.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4820524900 + 133009007616 = 69430^2 + 364704^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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, 1052133771 + ... + 1052133901.

Almost surely, 2^137829532516 is an apocalyptic number.

137829532516 is the 371254-th square number.

It is an amenable number.

137829532516 is a deficient number, since it is larger than the sum of its proper divisors (127799092487).

137829532516 is a wasteful number, since it uses less digits than its factorization.

137829532516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 137829532516 in words is "one hundred thirty-seven billion, eight hundred twenty-nine million, five hundred thirty-two thousand, five hundred sixteen".