137032830 has 256 divisors, whose sum is σ = 433382400. Its totient is φ = 30481920.

The previous prime is 137032817. The next prime is 137032843. The reversal of 137032830 is 38230731.

137032830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137032817) and next prime (137032843).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137032794 and 137032803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3186789 + ... + 3186831.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 2^137032830 is an apocalyptic number.

137032830 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 137032830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216691200).

137032830 is an abundant number, since it is smaller than the sum of its proper divisors (296349570).

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

137032830 is a wasteful number, since it uses less digits than its factorization.

137032830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137032830 is about 11706.1022548071. The cubic root of 137032830 is about 515.5548486381.

The spelling of 137032830 in words is "one hundred thirty-seven million, thirty-two thousand, eight hundred thirty".