135514080 has 384 divisors, whose sum is σ = 541900800. Its totient is φ = 31352832.

The previous prime is 135514073. The next prime is 135514087. The reversal of 135514080 is 80415531.

It is an interprime number because it is at equal distance from previous prime (135514073) and next prime (135514087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135514087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066977 + ... + 1067103.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^135514080 is an apocalyptic number.

135514080 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 135514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

135514080 is an abundant number, since it is smaller than the sum of its proper divisors (406386720).

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

135514080 is a wasteful number, since it uses less digits than its factorization.

135514080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135514080 is about 11641.0514988982. The cubic root of 135514080 is about 513.6431180500.

The spelling of 135514080 in words is "one hundred thirty-five million, five hundred fourteen thousand, eighty".