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135157248 = 29343259
BaseRepresentation
bin10000000111001…
…01011000000000
3100102022200220000
420003211120000
5234100012443
621224520000
73230550312
oct1003453000
9312280800
10135157248
116a324706
1239320000
1322003005
1413d437b2
15bceb8d3
hex80e5600

135157248 has 100 divisors (see below), whose sum is σ = 403532580. Its totient is φ = 45038592.

The previous prime is 135157247. The next prime is 135157271. The reversal of 135157248 is 842751531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135157247) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39843 + ... + 43101.

Almost surely, 2135157248 is an apocalyptic number.

135157248 is a gapful number since it is divisible by the number (18) 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 135157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201766290).

135157248 is an abundant number, since it is smaller than the sum of its proper divisors (268375332).

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

135157248 is an frugal number, since it uses more digits than its factorization.

135157248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3264 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 135157248 is about 11625.7149457571. The cubic root of 135157248 is about 513.1918847171.

The spelling of 135157248 in words is "one hundred thirty-five million, one hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3259 3456 4608 5184 6518 6912 9777 10368 13036 13824 19554 20736 26072 29331 39108 41472 52144 58662 78216 87993 104288 117324 156432 175986 208576 234648 263979 312864 351972 417152 469296 527958 625728 703944 834304 938592 1055916 1251456 1407888 1668608 1877184 2111832 2502912 2815776 3754368 4223664 5005824 5631552 7508736 8447328 11263104 15017472 16894656 22526208 33789312 45052416 67578624 135157248