137677897500 has 960 divisors, whose sum is σ = 503637184512. Its totient is φ = 28800000000.

The previous prime is 137677897477. The next prime is 137677897529. The reversal of 137677897500 is 5798776731.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1363147450 + ... + 1363147550.

Almost surely, 2^137677897500 is an apocalyptic number.

137677897500 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 137677897500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251818592256).

137677897500 is an abundant number, since it is smaller than the sum of its proper divisors (365959287012).

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

137677897500 is a wasteful number, since it uses less digits than its factorization.

137677897500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 60.

The spelling of 137677897500 in words is "one hundred thirty-seven billion, six hundred seventy-seven million, eight hundred ninety-seven thousand, five hundred".