137197367544384 has 567 divisors, whose sum is σ = 462289164068667. Its totient is φ = 38789382094848.

The previous prime is 137197367544319. The next prime is 137197367544389. The reversal of 137197367544384 is 483445763791731.

The square root of 137197367544384 is 11713128.

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

137197367544384 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 9 + 7 + 36 + 75 + 443 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124892426078784 + 12304941465600 = 11175528^2 + 3507840^2 .

It is a super-2 number, since 2×137197367544384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (137197367544389) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 222362021644 + ... + 222362022260.

Almost surely, 2^{137197367544384} is an apocalyptic number.

137197367544384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137197367544384 is the 11713128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137197367544384

137197367544384 is an abundant number, since it is smaller than the sum of its proper divisors (325091796524283).

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

137197367544384 is an frugal number, since it uses more digits than its factorization.

137197367544384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 742 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 137197367544384 in words is "one hundred thirty-seven trillion, one hundred ninety-seven billion, three hundred sixty-seven million, five hundred forty-four thousand, three hundred eighty-four".