137110240656 has 135 divisors (see below), whose sum is σ = 391079934219. Its totient is φ = 44842873536.

The previous prime is 137110240649. The next prime is 137110240679. The reversal of 137110240656 is 656042011731.

The square root of 137110240656 is 370284.

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

137110240656 is a `hidden beast` number, since 137 + 110 + 2 + 406 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137110240656.

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, 262160811 + ... + 262161333.

Almost surely, 2^137110240656 is an apocalyptic number.

137110240656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137110240656 is the 370284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137110240656

137110240656 is an abundant number, since it is smaller than the sum of its proper divisors (253969693563).

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

137110240656 is an frugal number, since it uses more digits than its factorization.

137110240656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 137110240656 by its sum of digits (36), we get a square (4935968663616 = 2221704²).

137110240656 divided by its sum of digits (36) gives a square (3808617796 = 61714²).

The spelling of 137110240656 in words is "one hundred thirty-seven billion, one hundred ten million, two hundred forty thousand, six hundred fifty-six".