137622330 has 96 divisors (see below), whose sum is σ = 373621248. Its totient is φ = 35107200.

The previous prime is 137622319. The next prime is 137622337. The reversal of 137622330 is 33226731.

137622330 is a `hidden beast` number, since 1 + 3 + 7 + 622 + 3 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137622294 and 137622303.

It is not an unprimeable number, because it can be changed into a prime (137622337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298300 + ... + 298760.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2^137622330 is an apocalyptic number.

137622330 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 137622330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

137622330 is an abundant number, since it is smaller than the sum of its proper divisors (235998918).

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

137622330 is a wasteful number, since it uses less digits than its factorization.

137622330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 137622330 is about 11731.2544086300. The cubic root of 137622330 is about 516.2930776022.

The spelling of 137622330 in words is "one hundred thirty-seven million, six hundred twenty-two thousand, three hundred thirty".