135240957040 has 80 divisors (see below), whose sum is σ = 361178972352. Its totient is φ = 46132918272.

The previous prime is 135240957029. The next prime is 135240957073. The reversal of 135240957040 is 40759042531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×135240957040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 135240956984 and 135240957002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502629 + ... + 723268.

Almost surely, 2^135240957040 is an apocalyptic number.

135240957040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135240957040 is an abundant number, since it is smaller than the sum of its proper divisors (225938015312).

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

135240957040 is a wasteful number, since it uses less digits than its factorization.

135240957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226114 (or 1226108 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 135240957040 its reverse (40759042531), we get a palindrome (175999999571).

The spelling of 135240957040 in words is "one hundred thirty-five billion, two hundred forty million, nine hundred fifty-seven thousand, forty".