137240000 has 140 divisors (see below), whose sum is σ = 352312224. Its totient is φ = 52992000.

The previous prime is 137239987. The next prime is 137240003. The reversal of 137240000 is 42731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137240003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1879964 + ... + 1880036.

Almost surely, 2^137240000 is an apocalyptic number.

137240000 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 137240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176156112).

137240000 is an abundant number, since it is smaller than the sum of its proper divisors (215072224).

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

137240000 is an frugal number, since it uses more digits than its factorization.

137240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 137240000 is about 11714.9477164860. The cubic root of 137240000 is about 515.8145278169.

Adding to 137240000 its reverse (42731), we get a palindrome (137282731).

The spelling of 137240000 in words is "one hundred thirty-seven million, two hundred forty thousand".