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135234030400 = 2652712074467
BaseRepresentation
bin111110111110010010…
…0111000101101000000
3110221001200200112112121
41331330210320231000
54203424402433100
6142043050334024
712525140202130
oct1757444705500
9427050615477
10135234030400
11523970a2697
122226172a314
13c9a2374041
14678c68aac0
1537b75e751a
hex1f7c938b40

135234030400 has 84 divisors (see below), whose sum is σ = 380297444128. Its totient is φ = 46365949440.

The previous prime is 135234030377. The next prime is 135234030413. The reversal of 135234030400 is 4030432531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6026034 + ... + 6048433.

Almost surely, 2135234030400 is an apocalyptic number.

135234030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135234030400 is an abundant number, since it is smaller than the sum of its proper divisors (245063413728).

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

135234030400 is a wasteful number, since it uses less digits than its factorization.

135234030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074496 (or 12074481 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 135234030400 its reverse (4030432531), we get a palindrome (139264462931).

The spelling of 135234030400 in words is "one hundred thirty-five billion, two hundred thirty-four million, thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 12074467 24148934 48297868 60372335 84521269 96595736 120744670 169042538 193191472 241489340 301861675 338085076 386382944 422606345 482978680 603723350 676170152 772765888 845212690 965957360 1207446700 1352340304 1690425380 1931914720 2113031725 2414893400 2704680608 3380850760 3863829440 4226063450 4829786800 5409361216 6761701520 8452126900 9659573600 13523403040 16904253800 19319147200 27046806080 33808507600 67617015200 135234030400