137823840 has 432 divisors, whose sum is σ = 596048544. Its totient is φ = 28385280.

The previous prime is 137823839. The next prime is 137823871. The reversal of 137823840 is 48328731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137823795 and 137823804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219624 + ... + 1219736.

It is an arithmetic number, because the mean of its divisors is an integer number (1379742).

Almost surely, 2^137823840 is an apocalyptic number.

137823840 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 137823840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298024272).

137823840 is an abundant number, since it is smaller than the sum of its proper divisors (458224704).

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

137823840 is a wasteful number, since it uses less digits than its factorization.

137823840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137823840 is about 11739.8398626216. The cubic root of 137823840 is about 516.5449443860.

The spelling of 137823840 in words is "one hundred thirty-seven million, eight hundred twenty-three thousand, eight hundred forty".