135987576238080 has 936 divisors, whose sum is σ = 566012802386304. Its totient is φ = 30080139264000.

The previous prime is 135987576238079. The next prime is 135987576238127. The reversal of 135987576238080 is 80832675789531.

135987576238080 is a `hidden beast` number, since 1 + 3 + 598 + 7 + 5 + 7 + 6 + 23 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×135987576238080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279739230 + ... + 280224930.

It is an arithmetic number, because the mean of its divisors is an integer number (604714532464).

Almost surely, 2^{135987576238080} is an apocalyptic number.

135987576238080 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 135987576238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283006401193152).

135987576238080 is an abundant number, since it is smaller than the sum of its proper divisors (430025226148224).

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

135987576238080 is a wasteful number, since it uses less digits than its factorization.

135987576238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485781 (or 485749 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 135987576238080 in words is "one hundred thirty-five trillion, nine hundred eighty-seven billion, five hundred seventy-six million, two hundred thirty-eight thousand, eighty".