Search a number
-
+
134237952 = 283319421
BaseRepresentation
bin10000000000001…
…00111100000000
3100100120222212000
420000010330000
5233331103302
621153104000
73220001202
oct1000047400
9310528760
10134237952
1169856a62
1238b58000
1321a70754
1413b84772
15bbb931c
hex8004f00

134237952 has 72 divisors (see below), whose sum is σ = 396985680. Its totient is φ = 44743680.

The previous prime is 134237951. The next prime is 134238023. The reversal of 134237952 is 259732431.

It is a tau number, because it is divible by the number of its divisors (72).

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 (134237951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2799 + ... + 16622.

It is an arithmetic number, because the mean of its divisors is an integer number (5513690).

Almost surely, 2134237952 is an apocalyptic number.

134237952 is a gapful number since it is divisible by the number (12) 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 134237952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198492840).

134237952 is an abundant number, since it is smaller than the sum of its proper divisors (262747728).

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

134237952 is an equidigital number, since it uses as much as digits as its factorization.

134237952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19446 (or 19426 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 134237952 is about 11586.1103050161. The cubic root of 134237952 is about 512.0257148543.

It can be divided in two parts, 1342379 and 52, that added together give a palindrome (1342431).

The spelling of 134237952 in words is "one hundred thirty-four million, two hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 19421 38842 58263 77684 116526 155368 174789 233052 310736 349578 466104 524367 621472 699156 932208 1048734 1242944 1398312 1864416 2097468 2485888 2796624 3728832 4194936 4971776 5593248 7457664 8389872 11186496 14915328 16779744 22372992 33559488 44745984 67118976 134237952