137700240 has 80 divisors (see below), whose sum is σ = 432936576. Its totient is φ = 36198400.

The previous prime is 137700223. The next prime is 137700253. The reversal of 137700240 is 42007731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×137700240² = 37922712192115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 137700240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13000 + ... + 21080.

Almost surely, 2^137700240 is an apocalyptic number.

137700240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137700240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216468288).

137700240 is an abundant number, since it is smaller than the sum of its proper divisors (295236336).

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

137700240 is a wasteful number, since it uses less digits than its factorization.

137700240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8162 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 137700240 is about 11734.5745555602. The cubic root of 137700240 is about 516.3904862265.

Adding to 137700240 its reverse (42007731), we get a palindrome (179707971).

The spelling of 137700240 in words is "one hundred thirty-seven million, seven hundred thousand, two hundred forty".