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134056937088 = 27331132291499
BaseRepresentation
bin111110011011001101…
…0101000011010000000
3110211000122210000002000
41330312122220122000
54144022033441323
6141330201224000
712454025110164
oct1746632503200
9424018700060
10134056937088
1151942711aa8
1221b93492000
13c845540019
1466ba200ca4
1537490d3e43
hex1f366a8680

134056937088 has 256 divisors, whose sum is σ = 401166000000. Its totient is φ = 44067373056.

The previous prime is 134056936967. The next prime is 134056937117. The reversal of 134056937088 is 880739650431.

134056937088 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 569 + 3 + 70 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89430163 + ... + 89431661.

Almost surely, 2134056937088 is an apocalyptic number.

134056937088 is a gapful number since it is divisible by the number (18) 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 134056937088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200583000000).

134056937088 is an abundant number, since it is smaller than the sum of its proper divisors (267109062912).

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

134056937088 is a wasteful number, since it uses less digits than its factorization.

134056937088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 134056937088 in words is "one hundred thirty-four billion, fifty-six million, nine hundred thirty-seven thousand, eighty-eight".