135152599680 has 1536 divisors, whose sum is σ = 607260672000. Its totient is φ = 28217548800.

The previous prime is 135152599567. The next prime is 135152599693. The reversal of 135152599680 is 86995251531.

135152599680 is a `hidden beast` number, since 1 + 3 + 51 + 525 + 9 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×135152599680² (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 191 ways as a sum of consecutive naturals, for example, 498717945 + ... + 498718215.

It is an arithmetic number, because the mean of its divisors is an integer number (395352000).

Almost surely, 2^135152599680 is an apocalyptic number.

135152599680 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 135152599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303630336000).

135152599680 is an abundant number, since it is smaller than the sum of its proper divisors (472108072320).

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

135152599680 is a wasteful number, since it uses less digits than its factorization.

135152599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 135152599680 in words is "one hundred thirty-five billion, one hundred fifty-two million, five hundred ninety-nine thousand, six hundred eighty".