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136461990 = 235719231487
BaseRepresentation
bin10000010001000…
…11111010100110
3100111202222122210
420020203322212
5234413240430
621312504250
73244623240
oct1010437246
9314688583
10136461990
1170035a05
123984b086
132236bb52
14141a3090
15bea82b0
hex8223ea6

136461990 has 128 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 28245888.

The previous prime is 136461989. The next prime is 136461991. The reversal of 136461990 is 99164631.

It is an interprime number because it is at equal distance from previous prime (136461989) and next prime (136461991).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136461991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91027 + ... + 92513.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2136461990 is an apocalyptic number.

136461990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136461990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

136461990 is an abundant number, since it is smaller than the sum of its proper divisors (274940250).

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

136461990 is a wasteful number, since it uses less digits than its factorization.

136461990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 136461990 is about 11681.6946544583. The cubic root of 136461990 is about 514.8379670604.

The spelling of 136461990 in words is "one hundred thirty-six million, four hundred sixty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 23 30 35 38 42 46 57 69 70 95 105 114 115 133 138 161 190 210 230 266 285 322 345 399 437 483 570 665 690 798 805 874 966 1311 1330 1487 1610 1995 2185 2415 2622 2974 3059 3990 4370 4461 4830 6118 6555 7435 8922 9177 10409 13110 14870 15295 18354 20818 22305 28253 30590 31227 34201 44610 45885 52045 56506 62454 68402 84759 91770 102603 104090 141265 156135 169518 171005 197771 205206 239407 282530 312270 342010 395542 423795 478814 513015 593313 649819 718221 847590 988855 1026030 1186626 1197035 1299638 1436442 1949457 1977710 2394070 2966565 3249095 3591105 3898914 4548733 5933130 6498190 7182210 9097466 9747285 13646199 19494570 22743665 27292398 45487330 68230995 136461990