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135908964 = 2232292672
BaseRepresentation
bin10000001100111…
…00111001100100
3100110201220001100
420012130321210
5234243041324
621253000100
73240131022
oct1006347144
9313656040
10135908964
116a798464
1239623030
1322207209
141409b712
15bde94c9
hex819ce64

135908964 has 81 divisors (see below), whose sum is σ = 361192377. Its totient is φ = 43087968.

The previous prime is 135908951. The next prime is 135908977. The reversal of 135908964 is 469809531.

It is a happy number.

The square root of 135908964 is 11658.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (135908951) and next prime (135908977).

It can be written as a sum of positive squares in only one way, i.e., 71267364 + 64641600 = 8442^2 + 8040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2028459 + ... + 2028525.

Almost surely, 2135908964 is an apocalyptic number.

135908964 is the 11658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135908964

135908964 is an abundant number, since it is smaller than the sum of its proper divisors (225283413).

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

135908964 is a wasteful number, since it uses less digits than its factorization.

135908964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 135908964 is about 514.1415478180.

The spelling of 135908964 in words is "one hundred thirty-five million, nine hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 67 87 116 134 174 201 261 268 348 402 522 603 804 841 1044 1206 1682 1943 2412 2523 3364 3886 4489 5046 5829 7569 7772 8978 10092 11658 13467 15138 17487 17956 23316 26934 30276 34974 40401 53868 56347 69948 80802 112694 130181 161604 169041 225388 260362 338082 390543 507123 520724 676164 781086 1014246 1171629 1562172 2028492 2343258 3775249 4686516 7550498 11325747 15100996 22651494 33977241 45302988 67954482 135908964