137578679056 has 135 divisors (see below), whose sum is σ = 336095279541. Its totient is φ = 54373318272.

The previous prime is 137578678997. The next prime is 137578679059. The reversal of 137578679056 is 650976875731.

The square root of 137578679056 is 370916.

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

It can be written as a sum of positive squares in only one way, i.e., 20351875600 + 117226803456 = 142660^2 + 342384^2 .

It is a super-2 number, since 2×137578679056² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137578679059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135012915 + ... + 135013933.

Almost surely, 2^137578679056 is an apocalyptic number.

137578679056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137578679056 is the 370916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137578679056

137578679056 is an abundant number, since it is smaller than the sum of its proper divisors (198516600485).

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

137578679056 is an equidigital number, since it uses as much as digits as its factorization.

137578679056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 64.

Multiplying 137578679056 by its sum of digits (64), we get a square (8805035459584 = 2967328²).

The spelling of 137578679056 in words is "one hundred thirty-seven billion, five hundred seventy-eight million, six hundred seventy-nine thousand, fifty-six".