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145504351134 = 23749167751
BaseRepresentation
bin1000011110000010111…
…1000011001110011110
3111220120110002220000000
42013200233003032132
54340443103214014
6150502131115130
713340506402152
oct2074057031636
9456513086000
10145504351134
115678745a66a
1224249142aa6
131094b06a2bc
147084699062
153bb90a0509
hex21e0bc339e

145504351134 has 64 divisors (see below), whose sum is σ = 328006402560. Its totient is φ = 48401955000.

The previous prime is 145504351123. The next prime is 145504351171. The reversal of 145504351134 is 431153405541.

145504351134 is a `hidden beast` number, since 1 + 4 + 5 + 504 + 35 + 113 + 4 = 666.

145504351134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1455043511344 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2113759 + ... + 2181509.

It is an arithmetic number, because the mean of its divisors is an integer number (5125100040).

Almost surely, 2145504351134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145504351134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164003201280).

145504351134 is an abundant number, since it is smaller than the sum of its proper divisors (182502051426).

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

145504351134 is an frugal number, since it uses more digits than its factorization.

145504351134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68265 (or 68247 counting only the distinct ones).

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

Adding to 145504351134 its reverse (431153405541), we get a palindrome (576657756675).

The spelling of 145504351134 in words is "one hundred forty-five billion, five hundred four million, three hundred fifty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 491 729 982 1458 1473 2187 2946 4374 4419 8838 13257 26514 39771 67751 79542 119313 135502 203253 238626 357939 406506 609759 715878 1073817 1219518 1829277 2147634 3658554 5487831 10975662 16463493 32926986 33265741 49390479 66531482 98780958 99797223 148171437 199594446 296342874 299391669 598783338 898175007 1796350014 2694525021 5389050042 8083575063 16167150126 24250725189 48501450378 72752175567 145504351134