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135374118792 = 233112731187763
BaseRepresentation
bin111111000010011101…
…1010001111110001000
3110221102110021202200120
41332010323101332020
54204221233300132
6142105013103240
712531461011113
oct1760473217610
9427373252616
10135374118792
1152459185120
12222a0627b20
13c9c53b2693
1467a311557a
1537c4a6a02c
hex1f84ed1f88

135374118792 has 64 divisors (see below), whose sum is σ = 369339298560. Its totient is φ = 41007220800.

The previous prime is 135374118787. The next prime is 135374118797. The reversal of 135374118792 is 297811473531.

135374118792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135374118787) and next prime (135374118797).

It is not an unprimeable number, because it can be changed into a prime (135374118797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627103 + ... + 814865.

It is an arithmetic number, because the mean of its divisors is an integer number (5770926540).

Almost surely, 2135374118792 is an apocalyptic number.

135374118792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135374118792 is an abundant number, since it is smaller than the sum of its proper divisors (233965179768).

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

135374118792 is a wasteful number, since it uses less digits than its factorization.

135374118792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190514 (or 190510 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 135374118792 in words is "one hundred thirty-five billion, three hundred seventy-four million, one hundred eighteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2731 5462 8193 10924 16386 21848 30041 32772 60082 65544 90123 120164 180246 187763 240328 360492 375526 563289 720984 751052 1126578 1502104 2065393 2253156 4130786 4506312 6196179 8261572 12392358 16523144 24784716 49569432 512780753 1025561506 1538342259 2051123012 3076684518 4102246024 5640588283 6153369036 11281176566 12306738072 16921764849 22562353132 33843529698 45124706264 67687059396 135374118792