137048266240 has 320 divisors, whose sum is σ = 360831905280. Its totient is φ = 49712988160.

The previous prime is 137048266231. The next prime is 137048266249. The reversal of 137048266240 is 42662840731.

It is an interprime number because it is at equal distance from previous prime (137048266231) and next prime (137048266249).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137048266249) 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, 158804049 + ... + 158804911.

It is an arithmetic number, because the mean of its divisors is an integer number (1127599704).

Almost surely, 2^137048266240 is an apocalyptic number.

137048266240 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 137048266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180415952640).

137048266240 is an abundant number, since it is smaller than the sum of its proper divisors (223783639040).

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

137048266240 is an equidigital number, since it uses as much as digits as its factorization.

137048266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 137048266240 in words is "one hundred thirty-seven billion, forty-eight million, two hundred sixty-six thousand, two hundred forty".