137070010 has 48 divisors (see below), whose sum is σ = 309955968. Its totient is φ = 42720480.

The previous prime is 137069993. The next prime is 137070013. The reversal of 137070010 is 10070731.

137070010 = 3525² + 3526² + ... + 3535².

It is a happy number.

137070010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137070010.

It is not an unprimeable number, because it can be changed into a prime (137070013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379 + ... + 16561.

It is an arithmetic number, because the mean of its divisors is an integer number (6457416).

Almost surely, 2^137070010 is an apocalyptic number.

137070010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137070010 is an abundant number, since it is smaller than the sum of its proper divisors (172885958).

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

137070010 is a wasteful number, since it uses less digits than its factorization.

137070010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16219 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 137070010 is about 11707.6902077224. The cubic root of 137070010 is about 515.6014715190.

The spelling of 137070010 in words is "one hundred thirty-seven million, seventy thousand, ten".