135514764 has 288 divisors, whose sum is σ = 469647360. Its totient is φ = 31881600.

The previous prime is 135514741. The next prime is 135514787. The reversal of 135514764 is 467415531.

135514764 is a `hidden beast` number, since 1 + 3 + 551 + 47 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (135514741) and next prime (135514787).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1632667 + ... + 1632749.

It is an arithmetic number, because the mean of its divisors is an integer number (1630720).

Almost surely, 2^135514764 is an apocalyptic number.

135514764 is a gapful number since it is divisible by the number (14) 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 135514764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

135514764 is an abundant number, since it is smaller than the sum of its proper divisors (334132596).

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

135514764 is a wasteful number, since it uses less digits than its factorization.

135514764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135514764 is about 11641.0808776505. The cubic root of 135514764 is about 513.6439822439.

The spelling of 135514764 in words is "one hundred thirty-five million, five hundred fourteen thousand, seven hundred sixty-four".