135573652859904 has 1056 divisors, whose sum is σ = 463053267855360. Its totient is φ = 37410021310464.

The previous prime is 135573652859857. The next prime is 135573652859917. The reversal of 135573652859904 is 409958256375531.

135573652859904 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 7 + 3 + 6 + 5 + 28 + 599 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44847386137 + ... + 44847389159.

It is a 1-persistent number, because it is pandigital, but 2⋅135573652859904 = 271147305719808 is not.

Almost surely, 2^{135573652859904} is an apocalyptic number.

135573652859904 is a gapful number since it is divisible by the number (14) 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 135573652859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231526633927680).

135573652859904 is an abundant number, since it is smaller than the sum of its proper divisors (327479614995456).

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

135573652859904 is a wasteful number, since it uses less digits than its factorization.

135573652859904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 1224720000, while the sum is 72.

The spelling of 135573652859904 in words is "one hundred thirty-five trillion, five hundred seventy-three billion, six hundred fifty-two million, eight hundred fifty-nine thousand, nine hundred four".