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134531640 = 233253311129
BaseRepresentation
bin10000000010011…
…00101000111000
3100101010220201100
420001030220320
5233420003030
621203251400
73222333345
oct1001145070
9311126640
10134531640
1169a37681
1239079b60
1321b44329
1413c1d7cc
15bc26360
hex804ca38

134531640 has 96 divisors (see below), whose sum is σ = 438937200. Its totient is φ = 35735040.

The previous prime is 134531633. The next prime is 134531687. The reversal of 134531640 is 46135431.

134531640 is a `hidden beast` number, since 1 + 345 + 316 + 4 + 0 = 666.

It is a super-2 number, since 2×1345316402 = 36197524322179200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118596 + ... + 119724.

Almost surely, 2134531640 is an apocalyptic number.

134531640 is a gapful number since it is divisible by the number (10) 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 134531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219468600).

134531640 is an abundant number, since it is smaller than the sum of its proper divisors (304405560).

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

134531640 is a wasteful number, since it uses less digits than its factorization.

134531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 134531640 is about 11598.7775217908. Note that the first 3 decimals coincide. The cubic root of 134531640 is about 512.3988489646.

The spelling of 134531640 in words is "one hundred thirty-four million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 331 360 662 993 1129 1324 1655 1986 2258 2648 2979 3310 3387 3972 4516 4965 5645 5958 6620 6774 7944 9032 9930 10161 11290 11916 13240 13548 14895 16935 19860 20322 22580 23832 27096 29790 33870 39720 40644 45160 50805 59580 67740 81288 101610 119160 135480 203220 373699 406440 747398 1121097 1494796 1868495 2242194 2989592 3363291 3736990 4484388 5605485 6726582 7473980 8968776 11210970 13453164 14947960 16816455 22421940 26906328 33632910 44843880 67265820 134531640