135376583977998 has 96 divisors (see below), whose sum is σ = 353534013510912. Its totient is φ = 36931378387200.

The previous prime is 135376583977991. The next prime is 135376583978137. The reversal of 135376583977998 is 899779385673531.

It is a happy number.

135376583977998 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 7 + 65 + 8 + 397 + 79 + 98 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135376583977991) 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, 874244988 + ... + 874399823.

It is an arithmetic number, because the mean of its divisors is an integer number (3682645974072).

Almost surely, 2^{135376583977998} is an apocalyptic number.

135376583977998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135376583977998 is an abundant number, since it is smaller than the sum of its proper divisors (218157429532914).

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

135376583977998 is a wasteful number, since it uses less digits than its factorization.

135376583977998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748644870 (or 1748644867 counting only the distinct ones).

The product of its digits is 64812182400, while the sum is 90.

The spelling of 135376583977998 in words is "one hundred thirty-five trillion, three hundred seventy-six billion, five hundred eighty-three million, nine hundred seventy-seven thousand, nine hundred ninety-eight".