137674080 has 144 divisors (see below), whose sum is σ = 487350864. Its totient is φ = 36702720.

The previous prime is 137674073. The next prime is 137674087. The reversal of 137674080 is 80476731.

It is an interprime number because it is at equal distance from previous prime (137674073) and next prime (137674087).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (137674087) 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, 37110 + ... + 40650.

It is an arithmetic number, because the mean of its divisors is an integer number (3384381).

Almost surely, 2^137674080 is an apocalyptic number.

137674080 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 137674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243675432).

137674080 is an abundant number, since it is smaller than the sum of its proper divisors (349676784).

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

137674080 is an equidigital number, since it uses as much as digits as its factorization.

137674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3551 counting only the distinct ones).

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

The square root of 137674080 is about 11733.4598478028. The cubic root of 137674080 is about 516.3577832318.

The spelling of 137674080 in words is "one hundred thirty-seven million, six hundred seventy-four thousand, eighty".