135690172416 has 576 divisors, whose sum is σ = 437259513600. Its totient is φ = 40343961600.

The previous prime is 135690172393. The next prime is 135690172421. The reversal of 135690172416 is 614271096531.

135690172416 is a `hidden beast` number, since 1 + 3 + 5 + 69 + 0 + 172 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592533390 + ... + 592533618.

It is an arithmetic number, because the mean of its divisors is an integer number (759131100).

Almost surely, 2^135690172416 is an apocalyptic number.

135690172416 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 135690172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218629756800).

135690172416 is an abundant number, since it is smaller than the sum of its proper divisors (301569341184).

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

135690172416 is a wasteful number, since it uses less digits than its factorization.

135690172416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 135690172416 in words is "one hundred thirty-five billion, six hundred ninety million, one hundred seventy-two thousand, four hundred sixteen".