135138157440 has 512 divisors, whose sum is σ = 509843980800. Its totient is φ = 30014668800.

The previous prime is 135138157439. The next prime is 135138157529. The reversal of 135138157440 is 44751831531.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135138157392 and 135138157401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38162070 + ... + 38165610.

It is an arithmetic number, because the mean of its divisors is an integer number (995789025).

Almost surely, 2^135138157440 is an apocalyptic number.

135138157440 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 135138157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254921990400).

135138157440 is an abundant number, since it is smaller than the sum of its proper divisors (374705823360).

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

135138157440 is a wasteful number, since it uses less digits than its factorization.

135138157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

Adding to 135138157440 its reverse (44751831531), we get a palindrome (179889988971).

The spelling of 135138157440 in words is "one hundred thirty-five billion, one hundred thirty-eight million, one hundred fifty-seven thousand, four hundred forty".