135121061376 has 720 divisors, whose sum is σ = 490396050144. Its totient is φ = 34962407424.

The previous prime is 135121061351. The next prime is 135121061377. The reversal of 135121061376 is 673160121531.

135121061376 is a `hidden beast` number, since 1 + 3 + 512 + 1 + 0 + 6 + 137 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135121061376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135121061377) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461163886 + ... + 461164178.

Almost surely, 2^135121061376 is an apocalyptic number.

135121061376 is a gapful number since it is divisible by the number (16) 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 135121061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245198025072).

135121061376 is an abundant number, since it is smaller than the sum of its proper divisors (355274988768).

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

135121061376 is a wasteful number, since it uses less digits than its factorization.

135121061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 135121061376 in words is "one hundred thirty-five billion, one hundred twenty-one million, sixty-one thousand, three hundred seventy-six".