135251332000 has 96 divisors (see below), whose sum is σ = 334739517840. Its totient is φ = 53705420800.

The previous prime is 135251331991. The next prime is 135251332001. The reversal of 135251332000 is 233152531.

It can be written as a sum of positive squares in 8 ways, for example, as 11749692816 + 123501639184 = 108396^2 + 351428^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135251332001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424596 + ... + 671404.

Almost surely, 2^135251332000 is an apocalyptic number.

135251332000 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 135251332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167369758920).

135251332000 is an abundant number, since it is smaller than the sum of its proper divisors (199488185840).

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

135251332000 is a wasteful number, since it uses less digits than its factorization.

135251332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246971 (or 246953 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 135251332000 its reverse (233152531), we get a palindrome (135484484531).

The spelling of 135251332000 in words is "one hundred thirty-five billion, two hundred fifty-one million, three hundred thirty-two thousand".