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135857135340 = 22325754761863
BaseRepresentation
bin111111010000110110…
…1110101111011101100
3110222200010011112211100
41332201231311323230
54211213411312330
6142224545523100
712546444411453
oct1764155657354
9428603145740
10135857135340
11526868a1653
12223b6343490
13ca7149c3a4
14680b329b9a
15380217b060
hex1fa1b75eec

135857135340 has 36 divisors (see below), whose sum is σ = 412099977744. Its totient is φ = 36228569376.

The previous prime is 135857135329. The next prime is 135857135399. The reversal of 135857135340 is 43531758531.

135857135340 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 571 + 35 + 3 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1358571353402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377380752 + ... + 377381111.

It is an arithmetic number, because the mean of its divisors is an integer number (11447221604).

Almost surely, 2135857135340 is an apocalyptic number.

135857135340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135857135340 is an abundant number, since it is smaller than the sum of its proper divisors (276242842404).

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

135857135340 is a wasteful number, since it uses less digits than its factorization.

135857135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754761878 (or 754761873 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 135857135340 in words is "one hundred thirty-five billion, eight hundred fifty-seven million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 754761863 1509523726 2264285589 3019047452 3773809315 4528571178 6792856767 7547618630 9057142356 11321427945 13585713534 15095237260 22642855890 27171427068 33964283835 45285711780 67928567670 135857135340