135954720 has 192 divisors, whose sum is σ = 519281280. Its totient is φ = 32947200.

The previous prime is 135954713. The next prime is 135954727. The reversal of 135954720 is 27459531.

135954720 is a `hidden beast` number, since 1 + 3 + 595 + 47 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (135954713) and next prime (135954727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135954727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 46090 + ... + 48950.

It is an arithmetic number, because the mean of its divisors is an integer number (2704590).

Almost surely, 2^135954720 is an apocalyptic number.

135954720 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 135954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259640640).

135954720 is an abundant number, since it is smaller than the sum of its proper divisors (383326560).

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

135954720 is a wasteful number, since it uses less digits than its factorization.

135954720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135954720 is about 11659.9622640899. The cubic root of 135954720 is about 514.1992394287.

The spelling of 135954720 in words is "one hundred thirty-five million, nine hundred fifty-four thousand, seven hundred twenty".