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135046164032 = 2613231402767
BaseRepresentation
bin111110111000101100…
…0001110111001000000
3110220120121011221022222
41331301120032321000
54203033304222112
6142012255550212
712520366311563
oct1756130167100
9426517157288
10135046164032
115230004792a
122220a82b368
13c972477800
1467717464da
1537a5d88372
hex1f7160ee40

135046164032 has 84 divisors (see below), whose sum is σ = 299543394816. Its totient is φ = 60318236160.

The previous prime is 135046163999. The next prime is 135046164037. The reversal of 135046164032 is 230461640531.

It is a junction number, because it is equal to n+sod(n) for n = 135046163983 and 135046164001.

It is not an unprimeable number, because it can be changed into a prime (135046164037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133913 + ... + 536679.

Almost surely, 2135046164032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135046164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149771697408).

135046164032 is an abundant number, since it is smaller than the sum of its proper divisors (164497230784).

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

135046164032 is a wasteful number, since it uses less digits than its factorization.

135046164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402836 (or 402813 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 135046164032 in words is "one hundred thirty-five billion, forty-six million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 169 208 248 338 403 416 496 676 806 832 992 1352 1612 1984 2704 3224 5239 5408 6448 10478 10816 12896 20956 25792 41912 83824 167648 335296 402767 805534 1611068 3222136 5235971 6444272 10471942 12485777 12888544 20943884 24971554 25777088 41887768 49943108 68067623 83775536 99886216 136135246 162315101 167551072 199772432 272270492 324630202 335102144 399544864 544540984 649260404 799089728 1089081968 1298520808 2110096313 2178163936 2597041616 4220192626 4356327872 5194083232 8440385252 10388166464 16880770504 33761541008 67523082016 135046164032