Search a number
-
+
132507652000 = 2553178918517
BaseRepresentation
bin111101101101000010…
…0100100111110100000
3110200000200112011110211
41323122010210332200
54132333424331000
6140512334503504
712400443313063
oct1733204447640
9420020464424
10132507652000
115121812a1a9
1221820664b94
13c659582b99
1465b054c8da
1536a80a17ba
hex1eda124fa0

132507652000 has 96 divisors (see below), whose sum is σ = 325770878160. Its totient is φ = 52970572800.

The previous prime is 132507651979. The next prime is 132507652007. The reversal of 132507652000 is 256705231.

It can be written as a sum of positive squares in 8 ways, for example, as 14768082576 + 117739569424 = 121524^2 + 343132^2 .

It is not an unprimeable number, because it can be changed into a prime (132507652007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7146742 + ... + 7165258.

Almost surely, 2132507652000 is an apocalyptic number.

132507652000 is a gapful number since it is divisible by the number (10) 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 132507652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162885439080).

132507652000 is an abundant number, since it is smaller than the sum of its proper divisors (193263226160).

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

132507652000 is a wasteful number, since it uses less digits than its factorization.

132507652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20331 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 132507652000 in words is "one hundred thirty-two billion, five hundred seven million, six hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1789 2000 3578 4000 7156 8945 14312 17890 18517 28624 35780 37034 44725 57248 71560 74068 89450 92585 143120 148136 178900 185170 223625 286240 296272 357800 370340 447250 462925 592544 715600 740680 894500 925850 1431200 1481360 1789000 1851700 2314625 2962720 3578000 3703400 4629250 7156000 7406800 9258500 14813600 18517000 33126913 37034000 66253826 74068000 132507652 165634565 265015304 331269130 530030608 662538260 828172825 1060061216 1325076520 1656345650 2650153040 3312691300 4140864125 5300306080 6625382600 8281728250 13250765200 16563456500 26501530400 33126913000 66253826000 132507652000