137253240 has 192 divisors, whose sum is σ = 484716960. Its totient is φ = 33546240.

The previous prime is 137253217. The next prime is 137253251. The reversal of 137253240 is 42352731.

137253240 is a `hidden beast` number, since 1 + 372 + 53 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250647 + ... + 251193.

Almost surely, 2^137253240 is an apocalyptic number.

137253240 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 137253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242358480).

137253240 is an abundant number, since it is smaller than the sum of its proper divisors (347463720).

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

137253240 is a wasteful number, since it uses less digits than its factorization.

137253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 137253240 is about 11715.5127928742. The cubic root of 137253240 is about 515.8311147322.

The spelling of 137253240 in words is "one hundred thirty-seven million, two hundred fifty-three thousand, two hundred forty".