135525649000 has 256 divisors, whose sum is σ = 387514782720. Its totient is φ = 43304140800.

The previous prime is 135525648943. The next prime is 135525649003. The reversal of 135525649000 is 946525531.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135525649003) 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, 12251472 + ... + 12262528.

It is an arithmetic number, because the mean of its divisors is an integer number (1513729620).

Almost surely, 2^135525649000 is an apocalyptic number.

135525649000 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 135525649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193757391360).

135525649000 is an abundant number, since it is smaller than the sum of its proper divisors (251989133720).

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

135525649000 is a wasteful number, since it uses less digits than its factorization.

135525649000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 135525649000 in words is "one hundred thirty-five billion, five hundred twenty-five million, six hundred forty-nine thousand".