137702268 has 132 divisors (see below), whose sum is σ = 401767128. Its totient is φ = 40940640.

The previous prime is 137702249. The next prime is 137702273. The reversal of 137702268 is 862207731.

137702268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×137702268² = 37923829224687648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2598130 + ... + 2598182.

Almost surely, 2^137702268 is an apocalyptic number.

137702268 is a gapful number since it is divisible by the number (18) 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 137702268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200883564).

137702268 is an abundant number, since it is smaller than the sum of its proper divisors (264064860).

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

137702268 is an equidigital number, since it uses as much as digits as its factorization.

137702268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137702268 is about 11734.6609665554. The cubic root of 137702268 is about 516.3930212857.

Adding to 137702268 its reverse (862207731), we get a palindrome (999909999).

The spelling of 137702268 in words is "one hundred thirty-seven million, seven hundred two thousand, two hundred sixty-eight".