137126010 has 48 divisors (see below), whose sum is σ = 382837536. Its totient is φ = 31342752.

The previous prime is 137126009. The next prime is 137126039. The reversal of 137126010 is 10621731.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45172 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (7975782).

Almost surely, 2^137126010 is an apocalyptic number.

137126010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137126010 is an abundant number, since it is smaller than the sum of its proper divisors (245711526).

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

137126010 is a wasteful number, since it uses less digits than its factorization.

137126010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93307 (or 93300 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 137126010 is about 11710.0815539432. The cubic root of 137126010 is about 515.6716783454.

Adding to 137126010 its reverse (10621731), we get a palindrome (147747741).

The spelling of 137126010 in words is "one hundred thirty-seven million, one hundred twenty-six thousand, ten".