135467152 has 40 divisors (see below), whose sum is σ = 283180536. Its totient is φ = 62539776.

The previous prime is 135467089. The next prime is 135467177. The reversal of 135467152 is 251764531.

It can be written as a sum of positive squares in 4 ways, for example, as 11723776 + 123743376 = 3424^2 + 11124^2 .

It is a super-2 number, since 2×135467152² = 36702698541982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9718 + ... + 19114.

Almost surely, 2^135467152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135467152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141590268).

135467152 is an abundant number, since it is smaller than the sum of its proper divisors (147713384).

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

135467152 is a wasteful number, since it uses less digits than its factorization.

135467152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9469 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 135467152 is about 11639.0356988885. The cubic root of 135467152 is about 513.5838203318.

The spelling of 135467152 in words is "one hundred thirty-five million, four hundred sixty-seven thousand, one hundred fifty-two".