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135642251052 = 22367112632297
BaseRepresentation
bin111111001010011101…
…0000111111100101100
3110222010010211022000000
41332110322013330230
54210243404013202
6142151352104300
712541225052610
oct1762472077454
9428103738000
10135642251052
1152586572930
1222356395090
13ca38b03319
1467ca991340
1537dd38191c
hex1f94e87f2c

135642251052 has 336 divisors, whose sum is σ = 445598157312. Its totient is φ = 35082512640.

The previous prime is 135642251051. The next prime is 135642251053. The reversal of 135642251052 is 250152246531.

135642251052 is a `hidden beast` number, since 1 + 3 + 5 + 642 + 2 + 5 + 1 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (135642251051) and next prime (135642251053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135642250998 and 135642251016.

It is not an unprimeable number, because it can be changed into a prime (135642251051) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59050768 + ... + 59053064.

It is an arithmetic number, because the mean of its divisors is an integer number (1326184992).

Almost surely, 2135642251052 is an apocalyptic number.

135642251052 is a gapful number since it is divisible by the number (12) 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 135642251052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222799078656).

135642251052 is an abundant number, since it is smaller than the sum of its proper divisors (309955906260).

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

135642251052 is a wasteful number, since it uses less digits than its factorization.

135642251052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 135642251052 its reverse (250152246531), we get a palindrome (385794497583).

The spelling of 135642251052 in words is "one hundred thirty-five billion, six hundred forty-two million, two hundred fifty-one thousand, fifty-two".