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135874278144 = 2835112941167
BaseRepresentation
bin111111010001010111…
…1001111001100000000
3110222201022102111100000
41332202233033030000
54211232303400034
6142230401200000
712550043210463
oct1764257171400
9428638374300
10135874278144
1152695540260
1222400030000
13ca74bc2167
14680d70d2da
153803915599
hex1fa2bcf300

135874278144 has 864 divisors, whose sum is σ = 472479920640. Its totient is φ = 38552371200.

The previous prime is 135874278139. The next prime is 135874278157. The reversal of 135874278144 is 441872478531.

135874278144 is a `hidden beast` number, since 1 + 3 + 587 + 42 + 7 + 8 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1358742781442 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 813618349 + ... + 813618515.

It is an arithmetic number, because the mean of its divisors is an integer number (546851760).

Almost surely, 2135874278144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135874278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236239960320).

135874278144 is an abundant number, since it is smaller than the sum of its proper divisors (336605642496).

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

135874278144 is a wasteful number, since it uses less digits than its factorization.

135874278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 135874278144 in words is "one hundred thirty-five billion, eight hundred seventy-four million, two hundred seventy-eight thousand, one hundred forty-four".