137116425600 has 1728 divisors, whose sum is σ = 634589495280. Its totient is φ = 28101427200.

The previous prime is 137116425517. The next prime is 137116425613. The reversal of 137116425600 is 6524611731.

137116425600 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 1 + 6 + 42 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1878307164 + ... + 1878307236.

Almost surely, 2^137116425600 is an apocalyptic number.

137116425600 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 137116425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317294747640).

137116425600 is an abundant number, since it is smaller than the sum of its proper divisors (497473069680).

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

137116425600 is a wasteful number, since it uses less digits than its factorization.

137116425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 137116425600 in words is "one hundred thirty-seven billion, one hundred sixteen million, four hundred twenty-five thousand, six hundred".