137803820 has 96 divisors (see below), whose sum is σ = 369363456. Its totient is φ = 41932800.

The previous prime is 137803811. The next prime is 137803843. The reversal of 137803820 is 28308731.

137803820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65180 + ... + 67260.

It is an arithmetic number, because the mean of its divisors is an integer number (3847536).

Almost surely, 2^137803820 is an apocalyptic number.

137803820 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 137803820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184681728).

137803820 is an abundant number, since it is smaller than the sum of its proper divisors (231559636).

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

137803820 is a wasteful number, since it uses less digits than its factorization.

137803820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 137803820 is about 11738.9871794802. The cubic root of 137803820 is about 516.5199324322.

The spelling of 137803820 in words is "one hundred thirty-seven million, eight hundred three thousand, eight hundred twenty".