137700340 has 24 divisors (see below), whose sum is σ = 306181512. Its totient is φ = 51840000.

The previous prime is 137700337. The next prime is 137700349. The reversal of 137700340 is 43007731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52359696 + 85340644 = 7236^2 + 9238^2 .

It is a super-2 number, since 2×137700340² = 37922767272231200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137700349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202161 + ... + 202840.

It is an arithmetic number, because the mean of its divisors is an integer number (12757563).

Almost surely, 2^137700340 is an apocalyptic number.

137700340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137700340 is an abundant number, since it is smaller than the sum of its proper divisors (168481172).

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

137700340 is a wasteful number, since it uses less digits than its factorization.

137700340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405027 (or 405025 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 137700340 is about 11734.5788164723. The cubic root of 137700340 is about 516.3906112300.

The spelling of 137700340 in words is "one hundred thirty-seven million, seven hundred thousand, three hundred forty".