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134253210400 = 2552167816513
BaseRepresentation
bin111110100001000011…
…1010110101100100000
3110211112100002201102221
41331002013112230200
54144422310213100
6141401452120424
712461630313451
oct1750207265440
9424470081387
10134253210400
1151a3348a051
1222029166114
13c8770c0c8a
1466d82d3128
15375b45401a
hex1f421d6b20

134253210400 has 36 divisors (see below), whose sum is σ = 327745651842. Its totient is φ = 53701283840.

The previous prime is 134253210359. The next prime is 134253210431. The reversal of 134253210400 is 4012352431.

It can be written as a sum of positive squares in 3 ways, for example, as 67186713616 + 67066496784 = 259204^2 + 258972^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83907457 + ... + 83909056.

Almost surely, 2134253210400 is an apocalyptic number.

134253210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134253210400 is an abundant number, since it is smaller than the sum of its proper divisors (193492441442).

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

134253210400 is a wasteful number, since it uses less digits than its factorization.

134253210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167816533 (or 167816520 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 134253210400 its reverse (4012352431), we get a palindrome (138265562831).

The spelling of 134253210400 in words is "one hundred thirty-four billion, two hundred fifty-three million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 167816513 335633026 671266052 839082565 1342532104 1678165130 2685064208 3356330260 4195412825 5370128416 6712660520 8390825650 13425321040 16781651300 26850642080 33563302600 67126605200 134253210400