135458400 has 288 divisors, whose sum is σ = 550464768. Its totient is φ = 28108800.

The previous prime is 135458399. The next prime is 135458423. The reversal of 135458400 is 4854531.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184434 + ... + 185166.

It is an arithmetic number, because the mean of its divisors is an integer number (1911336).

Almost surely, 2^135458400 is an apocalyptic number.

135458400 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 135458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275232384).

135458400 is an abundant number, since it is smaller than the sum of its proper divisors (415006368).

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

135458400 is a wasteful number, since it uses less digits than its factorization.

135458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 135458400 is about 11638.6597166512. The cubic root of 135458400 is about 513.5727598833.

It can be divided in two parts, 13545 and 8400, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 135458400 in words is "one hundred thirty-five million, four hundred fifty-eight thousand, four hundred".