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135498971070 = 23351759509983
BaseRepresentation
bin111111000110001011…
…1100011011110111110
3110221202011012220211000
41332030113203132332
54210000214033240
6142125233111130
712534535151661
oct1761427433676
9427664186730
10135498971070
1152512700521
12223163b84a6
13ca15218078
1467b59356d8
1537d09cd430
hex1f8c5e37be

135498971070 has 256 divisors, whose sum is σ = 390230784000. Its totient is φ = 33331562496.

The previous prime is 135498970993. The next prime is 135498971117. The reversal of 135498971070 is 70179894531.

It is a happy number.

135498971070 is a `hidden beast` number, since 1 + 3 + 549 + 8 + 97 + 1 + 0 + 7 + 0 = 666.

135498971070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1354989710702 (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 a junction number, because it is equal to n+sod(n) for n = 135498970998 and 135498971016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137841799 + ... + 137842781.

It is an arithmetic number, because the mean of its divisors is an integer number (1524339000).

Almost surely, 2135498971070 is an apocalyptic number.

135498971070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135498971070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195115392000).

135498971070 is an abundant number, since it is smaller than the sum of its proper divisors (254731812930).

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

135498971070 is a wasteful number, since it uses less digits than its factorization.

135498971070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 135498971070 in words is "one hundred thirty-five billion, four hundred ninety-eight million, nine hundred seventy-one thousand, seventy".