135742800 has 240 divisors, whose sum is σ = 464970240. Its totient is φ = 33792000.

The previous prime is 135742793. The next prime is 135742819. The reversal of 135742800 is 8247531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×135742800² = 36852215503680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525156 + ... + 1525244.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^135742800 is an apocalyptic number.

135742800 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 135742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

135742800 is an abundant number, since it is smaller than the sum of its proper divisors (329227440).

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

135742800 is a wasteful number, since it uses less digits than its factorization.

135742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 135742800 is about 11650.8712120596. The cubic root of 135742800 is about 513.9319304046.

The spelling of 135742800 in words is "one hundred thirty-five million, seven hundred forty-two thousand, eight hundred".