137030270976 has 171 divisors, whose sum is σ = 397513879113. Its totient is φ = 45487226880.

The previous prime is 137030270911. The next prime is 137030270977. The reversal of 137030270976 is 679072030731.

The square root of 137030270976 is 370176.

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

137030270976 is a `hidden beast` number, since 1 + 370 + 3 + 0 + 270 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103056408576 + 33973862400 = 321024^2 + 184320^2 .

It is not an unprimeable number, because it can be changed into a prime (137030270977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 568590216 + ... + 568590456.

Almost surely, 2^137030270976 is an apocalyptic number.

137030270976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137030270976 is the 370176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137030270976

137030270976 is an abundant number, since it is smaller than the sum of its proper divisors (260483608137).

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

137030270976 is an frugal number, since it uses more digits than its factorization.

137030270976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 137030270976 in words is "one hundred thirty-seven billion, thirty million, two hundred seventy thousand, nine hundred seventy-six".