137229788160 has 528 divisors, whose sum is σ = 519800965632. Its totient is φ = 33325056000.

The previous prime is 137229788159. The next prime is 137229788161. The reversal of 137229788160 is 61887922731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137229788159) and next prime (137229788161).

It is a junction number, because it is equal to n+sod(n) for n = 137229788097 and 137229788106.

It is not an unprimeable number, because it can be changed into a prime (137229788161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24281335 + ... + 24286985.

Almost surely, 2^137229788160 is an apocalyptic number.

137229788160 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 137229788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259900482816).

137229788160 is an abundant number, since it is smaller than the sum of its proper divisors (382571177472).

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

137229788160 is a wasteful number, since it uses less digits than its factorization.

137229788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 137229788160 in words is "one hundred thirty-seven billion, two hundred twenty-nine million, seven hundred eighty-eight thousand, one hundred sixty".