135152600 has 96 divisors (see below), whose sum is σ = 357834240. Its totient is φ = 46992000.

The previous prime is 135152573. The next prime is 135152603. The reversal of 135152600 is 6251531.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135152603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49265 + ... + 51935.

It is an arithmetic number, because the mean of its divisors is an integer number (3727440).

Almost surely, 2^135152600 is an apocalyptic number.

135152600 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 135152600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917120).

135152600 is an abundant number, since it is smaller than the sum of its proper divisors (222681640).

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

135152600 is a wasteful number, since it uses less digits than its factorization.

135152600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 135152600 is about 11625.5150423540. The cubic root of 135152600 is about 513.1860018331.

The spelling of 135152600 in words is "one hundred thirty-five million, one hundred fifty-two thousand, six hundred".