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135542496 = 25317232157
BaseRepresentation
bin10000001010000…
…11011011100000
3100110001021100110
420011003123200
5234144324441
621241051320
73234043425
oct1005033340
9313037313
10135542496
116a5680a1
1239486b40
132210947b
1414003d4c
15bd75b16
hex81436e0

135542496 has 144 divisors (see below), whose sum is σ = 396328464. Its totient is φ = 40415232.

The previous prime is 135542467. The next prime is 135542503. The reversal of 135542496 is 694245531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863250 + ... + 863406.

It is an arithmetic number, because the mean of its divisors is an integer number (2752281).

Almost surely, 2135542496 is an apocalyptic number.

135542496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198164232).

135542496 is an abundant number, since it is smaller than the sum of its proper divisors (260785968).

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

135542496 is a wasteful number, since it uses less digits than its factorization.

135542496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 135542496 is about 11642.2719432248. The cubic root of 135542496 is about 513.6790175491.

The spelling of 135542496 in words is "one hundred thirty-five million, five hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 157 184 204 272 276 314 368 391 408 471 529 544 552 628 736 782 816 942 1058 1104 1173 1256 1564 1587 1632 1884 2116 2208 2346 2512 2669 3128 3174 3611 3768 4232 4692 5024 5338 6256 6348 7222 7536 8007 8464 8993 9384 10676 10833 12512 12696 14444 15072 16014 16928 17986 18768 21352 21666 25392 26979 28888 32028 35972 37536 42704 43332 50784 53958 57776 61387 64056 71944 83053 85408 86664 107916 115552 122774 128112 143888 166106 173328 184161 215832 245548 249159 256224 287776 332212 346656 368322 431664 491096 498318 664424 736644 863328 982192 996636 1328848 1411901 1473288 1964384 1993272 2657696 2823802 2946576 3986544 4235703 5647604 5893152 7973088 8471406 11295208 16942812 22590416 33885624 45180832 67771248 135542496