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134452236800 = 2952724632
BaseRepresentation
bin111110100110111111…
…0100101001000000000
3110212001012121022100002
41331031332211020000
54200324233034200
6141433322015132
712466565104400
oct1751576451000
9425035538302
10134452236800
1152025867582
12220839474a8
13c8a93c708b
146716900800
15376db69bd5
hex1f4dfa5200

134452236800 has 270 divisors, whose sum is σ = 388340938953. Its totient is φ = 45998346240.

The previous prime is 134452236773. The next prime is 134452236803. The reversal of 134452236800 is 8632254431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 131763192064 + 2689044736 = 362992^2 + 51856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=259280.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134452236803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 290393369 + ... + 290393831.

Almost surely, 2134452236800 is an apocalyptic number.

134452236800 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 134452236800

134452236800 is an abundant number, since it is smaller than the sum of its proper divisors (253888702153).

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

134452236800 is an frugal number, since it uses more digits than its factorization.

134452236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 134452236800 in words is "one hundred thirty-four billion, four hundred fifty-two million, two hundred thirty-six thousand, eight hundred".