135101514240 has 2160 divisors, whose sum is σ = 638793739584. Its totient is φ = 26227998720.

The previous prime is 135101514199. The next prime is 135101514257. The reversal of 135101514240 is 42415101531.

135101514240 is a `hidden beast` number, since 1 + 3 + 5 + 101 + 514 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3141895659 + ... + 3141895701.

Almost surely, 2^135101514240 is an apocalyptic number.

135101514240 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 135101514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319396869792).

135101514240 is an abundant number, since it is smaller than the sum of its proper divisors (503692225344).

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

135101514240 is a wasteful number, since it uses less digits than its factorization.

135101514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 135101514240 its reverse (42415101531), we get a palindrome (177516615771).

The spelling of 135101514240 in words is "one hundred thirty-five billion, one hundred one million, five hundred fourteen thousand, two hundred forty".