137708820 has 288 divisors, whose sum is σ = 478033920. Its totient is φ = 31933440.

The previous prime is 137708819. The next prime is 137708839. The reversal of 137708820 is 28807731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3721842 + ... + 3721878.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^137708820 is an apocalyptic number.

137708820 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 137708820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

137708820 is an abundant number, since it is smaller than the sum of its proper divisors (340325100).

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

137708820 is a wasteful number, since it uses less digits than its factorization.

137708820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 137708820 is about 11734.9401361916. The cubic root of 137708820 is about 516.4012113067.

The spelling of 137708820 in words is "one hundred thirty-seven million, seven hundred eight thousand, eight hundred twenty".