137676280 has 96 divisors (see below), whose sum is σ = 379414800. Its totient is φ = 44706816.

The previous prime is 137676269. The next prime is 137676281. The reversal of 137676280 is 82676731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137676281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35392 + ... + 39088.

Almost surely, 2^137676280 is an apocalyptic number.

137676280 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 137676280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189707400).

137676280 is an abundant number, since it is smaller than the sum of its proper divisors (241738520).

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

137676280 is a wasteful number, since it uses less digits than its factorization.

137676280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 137676280 is about 11733.5535964174. The cubic root of 137676280 is about 516.3605336432.

The spelling of 137676280 in words is "one hundred thirty-seven million, six hundred seventy-six thousand, two hundred eighty".