137808065332224 has 891 divisors, whose sum is σ = 481406835517023. Its totient is φ = 39312877105152.

The previous prime is 137808065332213. The next prime is 137808065332229. The reversal of 137808065332224 is 422233560808731.

The square root of 137808065332224 is 11739168.

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

137808065332224 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 80 + 6 + 5 + 332 + 224 = 666.

It is a super-2 number, since 2×137808065332224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137808065332229) 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, 212995463869 + ... + 212995464515.

Almost surely, 2^{137808065332224} is an apocalyptic number.

137808065332224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137808065332224 is the 11739168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137808065332224

137808065332224 is an abundant number, since it is smaller than the sum of its proper divisors (343598770184799).

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

137808065332224 is an frugal number, since it uses more digits than its factorization.

137808065332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 137808065332224 in words is "one hundred thirty-seven trillion, eight hundred eight billion, sixty-five million, three hundred thirty-two thousand, two hundred twenty-four".