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134599680 = 21032523127
BaseRepresentation
bin10000000010111…
…01010000000000
3100101021101001100
420001131100000
5233424142210
621204534400
73223035615
oct1001352000
9311241040
10134599680
1169a83806
12390b1400
1321b692a7
1413c3a50c
15bc3b5c0
hex805d400

134599680 has 264 divisors, whose sum is σ = 490493952. Its totient is φ = 34062336.

The previous prime is 134599649. The next prime is 134599691. The reversal of 134599680 is 86995431.

It is a happy number.

It is a super-2 number, since 2×1345996802 = 36234147712204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059777 + ... + 1059903.

Almost surely, 2134599680 is an apocalyptic number.

134599680 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 134599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245246976).

134599680 is an abundant number, since it is smaller than the sum of its proper divisors (355894272).

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

134599680 is a wasteful number, since it uses less digits than its factorization.

134599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 134599680 is about 11601.7102187565. The cubic root of 134599680 is about 512.4852171028.

It can be divided in two parts, 1345 and 99680, that added together give a triangular number (101025 = T449).

The spelling of 134599680 in words is "one hundred thirty-four million, five hundred ninety-nine thousand, six hundred eighty".