137996947200 has 864 divisors, whose sum is σ = 541625333760. Its totient is φ = 30287462400.

The previous prime is 137996947189. The next prime is 137996947223. The reversal of 137996947200 is 2749699731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435321442 + ... + 435321758.

Almost surely, 2^137996947200 is an apocalyptic number.

137996947200 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 137996947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270812666880).

137996947200 is an abundant number, since it is smaller than the sum of its proper divisors (403628386560).

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

137996947200 is a wasteful number, since it uses less digits than its factorization.

137996947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 137996947200 in words is "one hundred thirty-seven billion, nine hundred ninety-six million, nine hundred forty-seven thousand, two hundred".