135065237400 has 192 divisors, whose sum is σ = 465446400000. Its totient is φ = 36000236160.

The previous prime is 135065237399. The next prime is 135065237443. The reversal of 135065237400 is 4732560531.

135065237400 is a `hidden beast` number, since 13 + 5 + 0 + 6 + 5 + 237 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14678001 + ... + 14687199.

It is an arithmetic number, because the mean of its divisors is an integer number (2424200000).

Almost surely, 2^135065237400 is an apocalyptic number.

135065237400 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 135065237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232723200000).

135065237400 is an abundant number, since it is smaller than the sum of its proper divisors (330381162600).

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

135065237400 is a wasteful number, since it uses less digits than its factorization.

135065237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11943 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 135065237400 its reverse (4732560531), we get a palindrome (139797797931).

The spelling of 135065237400 in words is "one hundred thirty-five billion, sixty-five million, two hundred thirty-seven thousand, four hundred".