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135745984 = 26112961109
BaseRepresentation
bin10000001011101…
…01000111000000
3100110102121111001
420011311013000
5234222332414
621245301344
73235551613
oct1005650700
9313377431
10135745984
116a696a70
1239564854
132217ac8a
141405817a
15bdb6074
hex81751c0

135745984 has 112 divisors (see below), whose sum is σ = 311810400. Its totient is φ = 58060800.

The previous prime is 135745943. The next prime is 135746027. The reversal of 135745984 is 489547531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245322 + ... + 1245430.

Almost surely, 2135745984 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 135745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155905200).

135745984 is an abundant number, since it is smaller than the sum of its proper divisors (176064416).

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

135745984 is a wasteful number, since it uses less digits than its factorization.

135745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 135745984 is about 11651.0078534005. The cubic root of 135745984 is about 513.9359486569.

The spelling of 135745984 in words is "one hundred thirty-five million, seven hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 61 64 88 109 116 122 176 218 232 244 319 352 436 464 488 638 671 704 872 928 976 1199 1276 1342 1744 1769 1856 1952 2398 2552 2684 3161 3488 3538 3904 4796 5104 5368 6322 6649 6976 7076 9592 10208 10736 12644 13298 14152 19184 19459 20416 21472 25288 26596 28304 34771 38368 38918 42944 50576 53192 56608 69542 73139 76736 77836 101152 106384 113216 139084 146278 155672 192821 202304 212768 278168 292556 311344 385642 425536 556336 585112 622688 771284 1112672 1170224 1245376 1542568 2121031 2225344 2340448 3085136 4242062 4680896 6170272 8484124 12340544 16968248 33936496 67872992 135745984