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135521750820 = 223573137449503
BaseRepresentation
bin111111000110110111…
…0011100111100100100
3110221210202002020202110
41332031232130330210
54210022032011240
6142131405241020
712535232606151
oct1761556347444
9427722066673
10135521750820
115252454a265
1222321b63170
13ca19b62801
1467b8985228
1537d29ccc80
hex1f8db9cf24

135521750820 has 192 divisors, whose sum is σ = 389101708800. Its totient is φ = 35234906112.

The previous prime is 135521750801. The next prime is 135521750827. The reversal of 135521750820 is 28057125531.

It is a super-2 number, since 2×1355217508202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135521750827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269426689 + ... + 269427191.

It is an arithmetic number, because the mean of its divisors is an integer number (2026571400).

Almost surely, 2135521750820 is an apocalyptic number.

135521750820 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 135521750820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194550854400).

135521750820 is an abundant number, since it is smaller than the sum of its proper divisors (253579957980).

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

135521750820 is a wasteful number, since it uses less digits than its factorization.

135521750820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 135521750820 in words is "one hundred thirty-five billion, five hundred twenty-one million, seven hundred fifty thousand, eight hundred twenty".