137263740 has 96 divisors (see below), whose sum is σ = 398635776. Its totient is φ = 35266560.

The previous prime is 137263739. The next prime is 137263741. The reversal of 137263740 is 47362731.

It is an interprime number because it is at equal distance from previous prime (137263739) and next prime (137263741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137263741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213820 + ... + 214460.

It is an arithmetic number, because the mean of its divisors is an integer number (4152456).

Almost surely, 2^137263740 is an apocalyptic number.

137263740 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 137263740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199317888).

137263740 is an abundant number, since it is smaller than the sum of its proper divisors (261372036).

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

137263740 is a wasteful number, since it uses less digits than its factorization.

137263740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 137263740 is about 11715.9609080946. The cubic root of 137263740 is about 515.8442682495.

The spelling of 137263740 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, seven hundred forty".