137735130 has 64 divisors (see below), whose sum is σ = 358162560. Its totient is φ = 33697536.

The previous prime is 137735119. The next prime is 137735131. The reversal of 137735130 is 31537731.

It is a super-2 number, since 2×137735130² = 37941932072233800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (137735131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68824 + ... + 70796.

It is an arithmetic number, because the mean of its divisors is an integer number (5596290).

Almost surely, 2^137735130 is an apocalyptic number.

137735130 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 137735130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179081280).

137735130 is an abundant number, since it is smaller than the sum of its proper divisors (220427430).

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

137735130 is a wasteful number, since it uses less digits than its factorization.

137735130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175.

The product of its (nonzero) digits is 6615, while the sum is 30.

The square root of 137735130 is about 11736.0610939105. The cubic root of 137735130 is about 516.4340962754.

The spelling of 137735130 in words is "one hundred thirty-seven million, seven hundred thirty-five thousand, one hundred thirty".