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2132134000 = 24531066067
BaseRepresentation
bin111111100010101…
…1100100001110000
312111120222121222221
41333011130201300
513331311242000
6551323010424
7103556561053
oct17705344160
95446877887
102132134000
119a4596917
124b6069a14
1327c95c269
14163252a9a
15c72b361a
hex7f15c870

2132134000 has 40 divisors (see below), whose sum is σ = 5155504848. Its totient is φ = 852852800.

The previous prime is 2132133967. The next prime is 2132134007. The reversal of 2132134000 is 4312312.

It is a happy number.

2132134000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132134007) 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, 531034 + ... + 535033.

Almost surely, 22132134000 is an apocalyptic number.

2132134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132134000 is an abundant number, since it is smaller than the sum of its proper divisors (3023370848).

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

2132134000 is a wasteful number, since it uses less digits than its factorization.

2132134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066090 (or 1066074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2132134000 is about 46175.0365457354. The cubic root of 2132134000 is about 1287.0778960026.

Adding to 2132134000 its reverse (4312312), we get a palindrome (2136446312).

The spelling of 2132134000 in words is "two billion, one hundred thirty-two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1066067 2132134 4264268 5330335 8528536 10660670 17057072 21321340 26651675 42642680 53303350 85285360 106606700 133258375 213213400 266516750 426426800 533033500 1066067000 2132134000