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134212000 = 2553132989
BaseRepresentation
bin1111111111111…
…10100110100000
3100100112200020211
413333332212200
5233324241000
621152343504
73216532426
oct777764640
9310480224
10134212000
116983950a
1238b44b94
1321a619b0
1413b79116
15bbb17ba
hex7ffe9a0

134212000 has 192 divisors, whose sum is σ = 371498400. Its totient is φ = 47308800.

The previous prime is 134211997. The next prime is 134212003. The reversal of 134212000 is 212431.

It is an interprime number because it is at equal distance from previous prime (134211997) and next prime (134212003).

It can be written as a sum of positive squares in 16 ways, for example, as 38093584 + 96118416 = 6172^2 + 9804^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (134212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507956 + ... + 1508044.

Almost surely, 2134212000 is an apocalyptic number.

134212000 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 134212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

134212000 is an abundant number, since it is smaller than the sum of its proper divisors (237286400).

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

134212000 is a wasteful number, since it uses less digits than its factorization.

134212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 134212000 is about 11584.9902891630. The cubic root of 134212000 is about 511.9927163677.

Adding to 134212000 its reverse (212431), we get a palindrome (134424431).

The spelling of 134212000 in words is "one hundred thirty-four million, two hundred twelve thousand".