135290993952 has 96 divisors (see below), whose sum is σ = 369851832000. Its totient is φ = 43249568768.

The previous prime is 135290993927. The next prime is 135290993953. The reversal of 135290993952 is 259399092531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 135290993892 and 135290993901.

It is not an unprimeable number, because it can be changed into a prime (135290993953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251743 + ... + 577889.

It is an arithmetic number, because the mean of its divisors is an integer number (3852623250).

Almost surely, 2^135290993952 is an apocalyptic number.

135290993952 is a gapful number since it is divisible by the number (12) 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 135290993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184925916000).

135290993952 is an abundant number, since it is smaller than the sum of its proper divisors (234560838048).

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

135290993952 is a wasteful number, since it uses less digits than its factorization.

135290993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326338 (or 326330 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 57.

The spelling of 135290993952 in words is "one hundred thirty-five billion, two hundred ninety million, nine hundred ninety-three thousand, nine hundred fifty-two".