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136451128242 = 231113743214043
BaseRepresentation
bin111111100010100011…
…1101111101110110010
3111001012111212111220110
41333011013233232302
54213422442100432
6142403525122150
712600246311262
oct1770507575662
9431174774813
10136451128242
1152961117280
1222541259356
13cb37573990
14686618b7a2
1538393addcc
hex1fc51efbb2

136451128242 has 64 divisors (see below), whose sum is σ = 321045451776. Its totient is φ = 38116599360.

The previous prime is 136451128153. The next prime is 136451128249. The reversal of 136451128242 is 242821154631.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 136451128242.

It is not an unprimeable number, because it can be changed into a prime (136451128249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530473 + ... + 744515.

It is an arithmetic number, because the mean of its divisors is an integer number (5016335184).

Almost surely, 2136451128242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136451128242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160522725888).

136451128242 is an abundant number, since it is smaller than the sum of its proper divisors (184594323534).

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

136451128242 is a wasteful number, since it uses less digits than its factorization.

136451128242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214815.

The product of its digits is 92160, while the sum is 39.

The spelling of 136451128242 in words is "one hundred thirty-six billion, four hundred fifty-one million, one hundred twenty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 743 858 1486 2229 4458 8173 9659 16346 19318 24519 28977 49038 57954 106249 212498 214043 318747 428086 637494 642129 1284258 2354473 2782559 4708946 5565118 7063419 8347677 14126838 16695354 30608149 61216298 91824447 159033949 183648894 318067898 477101847 954203694 1749373439 2067441337 3498746878 4134882674 5248120317 6202324011 10496240634 12404648022 22741854707 45483709414 68225564121 136451128242