136879271280 has 640 divisors, whose sum is σ = 517412240640. Its totient is φ = 33124515840.

The previous prime is 136879271273. The next prime is 136879271293. The reversal of 136879271280 is 82172978631.

It is a happy number.

136879271280 is a `hidden beast` number, since 1 + 368 + 7 + 9 + 271 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×136879271280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118715184 + ... + 118716336.

It is an arithmetic number, because the mean of its divisors is an integer number (808456626).

Almost surely, 2^136879271280 is an apocalyptic number.

136879271280 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 136879271280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258706120320).

136879271280 is an abundant number, since it is smaller than the sum of its proper divisors (380532969360).

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

136879271280 is a wasteful number, since it uses less digits than its factorization.

136879271280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

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

The spelling of 136879271280 in words is "one hundred thirty-six billion, eight hundred seventy-nine million, two hundred seventy-one thousand, two hundred eighty".