137220512010 has 32 divisors (see below), whose sum is σ = 334911084480. Its totient is φ = 35971930368.

The previous prime is 137220512003. The next prime is 137220512021. The reversal of 137220512010 is 10215022731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38761087 + ... + 38764626.

It is an arithmetic number, because the mean of its divisors is an integer number (10465971390).

Almost surely, 2^137220512010 is an apocalyptic number.

137220512010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137220512010 is an abundant number, since it is smaller than the sum of its proper divisors (197690572470).

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

137220512010 is a wasteful number, since it uses less digits than its factorization.

137220512010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77525782.

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 137220512010 its reverse (10215022731), we get a palindrome (147435534741).

It can be divided in two parts, 137220 and 512010, that added together give a triangular number (649230 = T₁₁₃₉).

The spelling of 137220512010 in words is "one hundred thirty-seven billion, two hundred twenty million, five hundred twelve thousand, ten".