137235330 has 64 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 36178560.

The previous prime is 137235313. The next prime is 137235341. The reversal of 137235330 is 33532731.

137235330 is nontrivially palindromic in base 4.

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 = 137235294 and 137235303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21175 + ... + 26885.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^137235330 is an apocalyptic number.

137235330 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 137235330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

137235330 is an abundant number, since it is smaller than the sum of its proper divisors (232902270).

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

137235330 is a wasteful number, since it uses less digits than its factorization.

137235330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 137235330 is about 11714.7483967860. The cubic root of 137235330 is about 515.8086770417.

The spelling of 137235330 in words is "one hundred thirty-seven million, two hundred thirty-five thousand, three hundred thirty".