137376974736 has 135 divisors (see below), whose sum is σ = 391137102993. Its totient is φ = 45011007360.

The previous prime is 137376974717. The next prime is 137376974747. The reversal of 137376974736 is 637479673731.

The square root of 137376974736 is 370644.

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

137376974736 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 76 + 97 + 473 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44034504336 + 93342470400 = 209844^2 + 305520^2 .

It is a super-3 number, since 3×137376974736³ (a number of 34 digits) contains 333 as substring.

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, 297997546 + ... + 297998006.

Almost surely, 2^137376974736 is an apocalyptic number.

137376974736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137376974736 is the 370644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137376974736

137376974736 is an abundant number, since it is smaller than the sum of its proper divisors (253760128257).

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

137376974736 is an frugal number, since it uses more digits than its factorization.

137376974736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its digits is 84015792, while the sum is 63.

The spelling of 137376974736 in words is "one hundred thirty-seven billion, three hundred seventy-six million, nine hundred seventy-four thousand, seven hundred thirty-six".