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135451807272 = 233219372676067
BaseRepresentation
bin111111000100110001…
…1101000111000101000
3110221121212110202020200
41332021203220320220
54204401130313042
6142120430152200
712533423236125
oct1761143507050
9427555422220
10135451807272
1152499017681
1222302652660
13ca085138b2
1467ad57974c
1537cb7b3c4c
hex1f898e8e28

135451807272 has 96 divisors (see below), whose sum is σ = 396593277600. Its totient is φ = 41618178432.

The previous prime is 135451807261. The next prime is 135451807277. The reversal of 135451807272 is 272708154531.

135451807272 is a `hidden beast` number, since 1 + 3 + 545 + 1 + 80 + 7 + 27 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (135451807277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287418 + ... + 1388649.

It is an arithmetic number, because the mean of its divisors is an integer number (4131179975).

Almost surely, 2135451807272 is an apocalyptic number.

135451807272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135451807272 is an abundant number, since it is smaller than the sum of its proper divisors (261141470328).

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

135451807272 is a wasteful number, since it uses less digits than its factorization.

135451807272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676135 (or 2676128 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 135451807272 in words is "one hundred thirty-five billion, four hundred fifty-one million, eight hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 37 38 57 72 74 76 111 114 148 152 171 222 228 296 333 342 444 456 666 684 703 888 1332 1368 1406 2109 2664 2812 4218 5624 6327 8436 12654 16872 25308 50616 2676067 5352134 8028201 10704268 16056402 21408536 24084603 32112804 48169206 50845273 64225608 96338412 99014479 101690546 152535819 192676824 198028958 203381092 297043437 305071638 396057916 406762184 457607457 594086874 610143276 792115832 891130311 915214914 1188173748 1220286552 1782260622 1830429828 1881275101 2376347496 3564521244 3660859656 3762550202 5643825303 7129042488 7525100404 11287650606 15050200808 16931475909 22575301212 33862951818 45150602424 67725903636 135451807272