137828883600 has 180 divisors, whose sum is σ = 482072288256. Its totient is φ = 36464843520.

The previous prime is 137828883593. The next prime is 137828883601. The reversal of 137828883600 is 6388828731.

137828883600 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 28 + 8 + 8 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (137828883601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 306469 + ... + 607931.

Almost surely, 2^137828883600 is an apocalyptic number.

137828883600 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 137828883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241036144128).

137828883600 is an abundant number, since it is smaller than the sum of its proper divisors (344243404656).

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

137828883600 is a wasteful number, since it uses less digits than its factorization.

137828883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301614 (or 301600 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 137828883600 in words is "one hundred thirty-seven billion, eight hundred twenty-eight million, eight hundred eighty-three thousand, six hundred".