137910630 has 256 divisors, whose sum is σ = 431972352. Its totient is φ = 27648000.

The previous prime is 137910601. The next prime is 137910637. The reversal of 137910630 is 36019731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137910637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2260800 + ... + 2260860.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^137910630 is an apocalyptic number.

137910630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137910630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

137910630 is an abundant number, since it is smaller than the sum of its proper divisors (294061722).

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

137910630 is a wasteful number, since it uses less digits than its factorization.

137910630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 137910630 is about 11743.5356686136. The cubic root of 137910630 is about 516.6533473269.

The spelling of 137910630 in words is "one hundred thirty-seven million, nine hundred ten thousand, six hundred thirty".