137226933072100 has 81 divisors (see below), whose sum is σ = 298338403839483. Its totient is φ = 54788483175360.

The previous prime is 137226933072083. The next prime is 137226933072113. The reversal of 137226933072100 is 1270339622731.

The square root of 137226933072100 is 11714390.

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 2165718403044 + 135061214669056 = 1471638^2 + 11621584^2 .

It is a super-2 number, since 2×137226933072100² (a number of 29 digits) contains 22 as substring.

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, 110935272682 + ... + 110935273918.

Almost surely, 2^{137226933072100} is an apocalyptic number.

137226933072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137226933072100 is the 11714390-th square number.

It is an amenable number.

137226933072100 is an abundant number, since it is smaller than the sum of its proper divisors (161111470767383).

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

137226933072100 is an frugal number, since it uses more digits than its factorization.

137226933072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 46.

The spelling of 137226933072100 in words is "one hundred thirty-seven trillion, two hundred twenty-six billion, nine hundred thirty-three million, seventy-two thousand, one hundred".