137112378 has 64 divisors (see below), whose sum is σ = 318753792. Its totient is φ = 38937600.

The previous prime is 137112359. The next prime is 137112397. The reversal of 137112378 is 873211731.

It is an interprime number because it is at equal distance from previous prime (137112359) and next prime (137112397).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69303 + ... + 71253.

It is an arithmetic number, because the mean of its divisors is an integer number (4980528).

Almost surely, 2^137112378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137112378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

137112378 is an abundant number, since it is smaller than the sum of its proper divisors (181641414).

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

137112378 is a wasteful number, since it uses less digits than its factorization.

137112378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039.

The product of its digits is 7056, while the sum is 33.

The square root of 137112378 is about 11709.4994769204. The cubic root of 137112378 is about 515.6545897583.

The spelling of 137112378 in words is "one hundred thirty-seven million, one hundred twelve thousand, three hundred seventy-eight".