135402774540 has 192 divisors, whose sum is σ = 418825451520. Its totient is φ = 32412303360.

The previous prime is 135402774527. The next prime is 135402774541. The reversal of 135402774540 is 45477204531.

It is a super-2 number, since 2×135402774540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135402774492 and 135402774501.

It is not an unprimeable number, because it can be changed into a prime (135402774541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17447181 + ... + 17454939.

It is an arithmetic number, because the mean of its divisors is an integer number (2181382560).

Almost surely, 2^135402774540 is an apocalyptic number.

135402774540 is a gapful number since it is divisible by the number (10) 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 135402774540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209412725760).

135402774540 is an abundant number, since it is smaller than the sum of its proper divisors (283422676980).

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

135402774540 is a wasteful number, since it uses less digits than its factorization.

135402774540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 135402774540 in words is "one hundred thirty-five billion, four hundred two million, seven hundred seventy-four thousand, five hundred forty".