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135624651036 = 22374373514361
BaseRepresentation
bin111111001001111011…
…0111111000100011100
3110222001220201010022120
41332103312333010130
54210224402313121
6142145522542540
712540622340610
oct1762366770434
9428056633276
10135624651036
1152577641766
1222350507a50
13ca35280404
1467c84cd340
1537dba56bc6
hex1f93dbf11c

135624651036 has 96 divisors (see below), whose sum is σ = 375146838528. Its totient is φ = 37330191360.

The previous prime is 135624651023. The next prime is 135624651061. The reversal of 135624651036 is 630156426531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6496 + ... + 520856.

It is an arithmetic number, because the mean of its divisors is an integer number (3907779568).

Almost surely, 2135624651036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135624651036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187573419264).

135624651036 is an abundant number, since it is smaller than the sum of its proper divisors (239522187492).

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

135624651036 is a wasteful number, since it uses less digits than its factorization.

135624651036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514491 (or 514489 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 135624651036 in words is "one hundred thirty-five billion, six hundred twenty-four million, six hundred fifty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 73 84 86 129 146 172 219 258 292 301 438 511 516 602 876 903 1022 1204 1533 1806 2044 3066 3139 3612 6132 6278 9417 12556 18834 21973 37668 43946 65919 87892 131838 263676 514361 1028722 1543083 2057444 3086166 3600527 6172332 7201054 10801581 14402108 21603162 22117523 37548353 43206324 44235046 66352569 75096706 88470092 112645059 132705138 150193412 154822661 225290118 262838471 265410276 309645322 450580236 464467983 525676942 619290644 788515413 928935966 1051353884 1577030826 1614579179 1857871932 3154061652 3229158358 4843737537 6458316716 9687475074 11302054253 19374950148 22604108506 33906162759 45208217012 67812325518 135624651036