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135044102500 = 2254187128871
BaseRepresentation
bin111110111000101000…
…0010111100101100100
3110220120110022012102221
41331301100113211210
54203032242240000
6142012143442124
712520342634356
oct1756120274544
9426513265387
10135044102500
11522a9969a8a
1222209bb6344
13c971c05378
14677136b0d6
1537a5acc61a
hex1f71417964

135044102500 has 60 divisors (see below), whose sum is σ = 295482515328. Its totient is φ = 53986900000.

The previous prime is 135044102467. The next prime is 135044102521. The reversal of 135044102500 is 5201440531.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4663065 + ... + 4691935.

Almost surely, 2135044102500 is an apocalyptic number.

135044102500 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 135044102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147741257664).

135044102500 is an abundant number, since it is smaller than the sum of its proper divisors (160438412828).

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

135044102500 is a wasteful number, since it uses less digits than its factorization.

135044102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30766 (or 30749 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 135044102500 in words is "one hundred thirty-five billion, forty-four million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1871 2500 3742 7484 9355 18710 28871 37420 46775 57742 93550 115484 144355 187100 233875 288710 467750 577420 721775 935500 1169375 1443550 2338750 2887100 3608875 4677500 7217750 14435500 18044375 36088750 54017641 72177500 108035282 216070564 270088205 540176410 1080352820 1350441025 2700882050 5401764100 6752205125 13504410250 27008820500 33761025625 67522051250 135044102500