135690396333948 has 108 divisors (see below), whose sum is σ = 364864966371360. Its totient is φ = 42510327174144.

The previous prime is 135690396333911. The next prime is 135690396333949. The reversal of 135690396333948 is 849333693096531.

135690396333948 is a `hidden beast` number, since 1 + 3 + 56 + 90 + 396 + 33 + 39 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135690396333949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589161 + ... + 16550112.

Almost surely, 2^{135690396333948} is an apocalyptic number.

135690396333948 is a gapful number since it is divisible by the number (18) 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 135690396333948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182432483185680).

135690396333948 is an abundant number, since it is smaller than the sum of its proper divisors (229174570037412).

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

135690396333948 is a wasteful number, since it uses less digits than its factorization.

135690396333948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18140036 (or 18140014 counting only the distinct ones).

The product of its (nonzero) digits is 1020366720, while the sum is 72.

The spelling of 135690396333948 in words is "one hundred thirty-five trillion, six hundred ninety billion, three hundred ninety-six million, three hundred thirty-three thousand, nine hundred forty-eight".