137903883390 has 288 divisors, whose sum is σ = 444504692736. Its totient is φ = 29044604160.

The previous prime is 137903883347. The next prime is 137903883409. The reversal of 137903883390 is 93388309731.

It is a happy number.

137903883390 is a `hidden beast` number, since 137 + 90 + 38 + 8 + 3 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105511117 + ... + 105512423.

It is an arithmetic number, because the mean of its divisors is an integer number (1543419072).

Almost surely, 2^137903883390 is an apocalyptic number.

137903883390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137903883390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222252346368).

137903883390 is an abundant number, since it is smaller than the sum of its proper divisors (306600809346).

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

137903883390 is a wasteful number, since it uses less digits than its factorization.

137903883390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 137903883390 in words is "one hundred thirty-seven billion, nine hundred three million, eight hundred eighty-three thousand, three hundred ninety".