137243820 has 192 divisors, whose sum is σ = 462422016. Its totient is φ = 29756160.

The previous prime is 137243819. The next prime is 137243833. The reversal of 137243820 is 28342731.

It is a super-2 number, since 2×137243820² = 37671732256384800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1080597 + ... + 1080723.

It is an arithmetic number, because the mean of its divisors is an integer number (2408448).

Almost surely, 2^137243820 is an apocalyptic number.

137243820 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 137243820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231211008).

137243820 is an abundant number, since it is smaller than the sum of its proper divisors (325178196).

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

137243820 is a wasteful number, since it uses less digits than its factorization.

137243820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137243820 is about 11715.1107549182. The cubic root of 137243820 is about 515.8193135772.

The spelling of 137243820 in words is "one hundred thirty-seven million, two hundred forty-three thousand, eight hundred twenty".