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135900261 = 3471723613
BaseRepresentation
bin10000001100110…
…10110001100101
3100110201110010000
420012122301211
5234242302021
621252451513
73240063450
oct1006326145
9313643100
10135900261
116a791972
1239619b99
1322203273
1414098497
15bde6b26
hex819ac65

135900261 has 80 divisors (see below), whose sum is σ = 256760064. Its totient is φ = 69797376.

The previous prime is 135900257. The next prime is 135900283. The reversal of 135900261 is 162009531.

135900261 is a `hidden beast` number, since 13 + 590 + 0 + 2 + 61 = 666.

It is not a de Polignac number, because 135900261 - 22 = 135900257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135900211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 221391 + ... + 222003.

Almost surely, 2135900261 is an apocalyptic number.

It is an amenable number.

135900261 is a deficient number, since it is larger than the sum of its proper divisors (120859803).

135900261 is a wasteful number, since it uses less digits than its factorization.

135900261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135900261 is about 11657.6267310289. The cubic root of 135900261 is about 514.1305731448.

Adding to 135900261 its reverse (162009531), we get a palindrome (297909792).

It can be divided in two parts, 135900 and 261, that added together give a square (136161 = 3692).

The spelling of 135900261 in words is "one hundred thirty-five million, nine hundred thousand, two hundred sixty-one".

Divisors: 1 3 7 9 17 21 23 27 51 63 69 81 119 153 161 189 207 357 391 459 483 567 613 621 1071 1173 1377 1449 1839 1863 2737 3213 3519 4291 4347 5517 8211 9639 10421 10557 12873 13041 14099 16551 24633 31263 31671 38619 42297 49653 72947 73899 93789 98693 115857 126891 218841 221697 239683 281367 296079 347571 380673 656523 719049 844101 888237 1142019 1677781 1969569 2157147 2664711 5033343 5908707 6471441 7994133 15100029 19414323 45300087 135900261