137766240 has 144 divisors (see below), whose sum is σ = 486486000. Its totient is φ = 35460096.

The previous prime is 137766229. The next prime is 137766247. The reversal of 137766240 is 42667731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137766195 and 137766204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137766247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40111 + ... + 43409.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 2^137766240 is an apocalyptic number.

137766240 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 137766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243243000).

137766240 is an abundant number, since it is smaller than the sum of its proper divisors (348719760).

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

137766240 is a wasteful number, since it uses less digits than its factorization.

137766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137766240 is about 11737.3864211757. The cubic root of 137766240 is about 516.4729753793.

The spelling of 137766240 in words is "one hundred thirty-seven million, seven hundred sixty-six thousand, two hundred forty".