137232620280 has 960 divisors, whose sum is σ = 569383214400. Its totient is φ = 29506498560.

The previous prime is 137232620267. The next prime is 137232620293. The reversal of 137232620280 is 82026232731.

137232620280 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 3 + 2 + 620 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137232620267) and next prime (137232620293).

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 239 ways as a sum of consecutive naturals, for example, 188765277 + ... + 188766003.

It is an arithmetic number, because the mean of its divisors is an integer number (593107515).

Almost surely, 2^137232620280 is an apocalyptic number.

137232620280 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 137232620280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284691607200).

137232620280 is an abundant number, since it is smaller than the sum of its proper divisors (432150594120).

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

137232620280 is a wasteful number, since it uses less digits than its factorization.

137232620280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 137232620280 in words is "one hundred thirty-seven billion, two hundred thirty-two million, six hundred twenty thousand, two hundred eighty".