137803992 has 64 divisors (see below), whose sum is σ = 357962880. Its totient is φ = 44174592.

The previous prime is 137803957. The next prime is 137803997. The reversal of 137803992 is 299308731.

It is a super-2 number, since 2×137803992² = 37979880422272128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137803997) 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 15 ways as a sum of consecutive naturals, for example, 68148 + ... + 70140.

It is an arithmetic number, because the mean of its divisors is an integer number (5593170).

Almost surely, 2^137803992 is an apocalyptic number.

137803992 is a gapful number since it is divisible by the number (12) 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 137803992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178981440).

137803992 is an abundant number, since it is smaller than the sum of its proper divisors (220158888).

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

137803992 is a wasteful number, since it uses less digits than its factorization.

137803992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 137803992 is about 11738.9945054932. The cubic root of 137803992 is about 516.5201473304.

The spelling of 137803992 in words is "one hundred thirty-seven million, eight hundred three thousand, nine hundred ninety-two".