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137512136340 = 223251940208227
BaseRepresentation
bin1000000000010001011…
…1001010111010010100
3111010221110100022101200
42000010113022322110
54223111101330330
6143101110152500
712635451605325
oct2000427127224
9433843308350
10137512136340
115335601a377
1222798652730
13cc76321917
14692705a44c
15389c5e1a60
hex20045cae94

137512136340 has 72 divisors (see below), whose sum is σ = 439073849760. Its totient is φ = 34739907264.

The previous prime is 137512136323. The next prime is 137512136357. The reversal of 137512136340 is 43631215731.

137512136340 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 1 + 2 + 13 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137512136323) and next prime (137512136357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137512136295 and 137512136304.

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, 20100694 + ... + 20107533.

Almost surely, 2137512136340 is an apocalyptic number.

137512136340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137512136340 is an abundant number, since it is smaller than the sum of its proper divisors (301561713420).

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

137512136340 is a wasteful number, since it uses less digits than its factorization.

137512136340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40208261 (or 40208256 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 137512136340 in words is "one hundred thirty-seven billion, five hundred twelve million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 40208227 80416454 120624681 160832908 201041135 241249362 361874043 402082270 482498724 603123405 723748086 763956313 804164540 1206246810 1447496172 1527912626 1809370215 2291868939 2412493620 3055825252 3618740430 3819781565 4583737878 6875606817 7237480860 7639563130 9167475756 11459344695 13751213634 15279126260 22918689390 27502427268 34378034085 45837378780 68756068170 137512136340