137881363200 has 432 divisors, whose sum is σ = 525931338240. Its totient is φ = 31158927360.

The previous prime is 137881363159. The next prime is 137881363219. The reversal of 137881363200 is 2363188731.

It is a super-2 number, since 2×137881363200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11955837 + ... + 11967363.

Almost surely, 2^137881363200 is an apocalyptic number.

137881363200 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 137881363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262965669120).

137881363200 is an abundant number, since it is smaller than the sum of its proper divisors (388049975040).

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

137881363200 is a wasteful number, since it uses less digits than its factorization.

137881363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 137881363200 in words is "one hundred thirty-seven billion, eight hundred eighty-one million, three hundred sixty-three thousand, two hundred".