137430390 has 32 divisors (see below), whose sum is σ = 331265376. Its totient is φ = 36488960.

The previous prime is 137430341. The next prime is 137430413. The reversal of 137430390 is 93034731.

It is a super-2 number, since 2×137430390² = 37774224191104200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841 + ... + 16820.

It is an arithmetic number, because the mean of its divisors is an integer number (10352043).

Almost surely, 2^137430390 is an apocalyptic number.

137430390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137430390 is an abundant number, since it is smaller than the sum of its proper divisors (193834986).

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

137430390 is a wasteful number, since it uses less digits than its factorization.

137430390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19904.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 137430390 is about 11723.0708434266. The cubic root of 137430390 is about 516.0529436091.

The spelling of 137430390 in words is "one hundred thirty-seven million, four hundred thirty thousand, three hundred ninety".