135921973824 has 336 divisors, whose sum is σ = 504743191680. Its totient is φ = 33960591360.

The previous prime is 135921973823. The next prime is 135921973849. The reversal of 135921973824 is 428379129531.

135921973824 is a `hidden beast` number, since 1 + 3 + 592 + 19 + 7 + 38 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×135921973824³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135921973823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927664 + ... + 1064144.

It is an arithmetic number, because the mean of its divisors is an integer number (1502211880).

Almost surely, 2^135921973824 is an apocalyptic number.

135921973824 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 135921973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252371595840).

135921973824 is an abundant number, since it is smaller than the sum of its proper divisors (368821217856).

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

135921973824 is a wasteful number, since it uses less digits than its factorization.

135921973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136538 (or 136525 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 135921973824 in words is "one hundred thirty-five billion, nine hundred twenty-one million, nine hundred seventy-three thousand, eight hundred twenty-four".