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137454327400 = 23521352867049
BaseRepresentation
bin1000000000000011101…
…0101001011001101000
3111010210102120022102211
42000000322221121220
54223001301434100
6143051243134504
712634150335205
oct2000072513150
9433712508384
10137454327400
1153326425695
1222781214434
13cc67361050
14691d4cccac
1538974c31ba
hex2000ea9668

137454327400 has 48 divisors (see below), whose sum is σ = 344164495500. Its totient is φ = 50752366080.

The previous prime is 137454327293. The next prime is 137454327433. The reversal of 137454327400 is 4723454731.

It can be written as a sum of positive squares in 6 ways, for example, as 12745055236 + 124709272164 = 112894^2 + 353142^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26430925 + ... + 26436124.

Almost surely, 2137454327400 is an apocalyptic number.

137454327400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137454327400 is an abundant number, since it is smaller than the sum of its proper divisors (206710168100).

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

137454327400 is a wasteful number, since it uses less digits than its factorization.

137454327400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52867078 (or 52867069 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 137454327400 in words is "one hundred thirty-seven billion, four hundred fifty-four million, three hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 52867049 105734098 211468196 264335245 422936392 528670490 687271637 1057340980 1321676225 1374543274 2114681960 2643352450 2749086548 3436358185 5286704900 5498173096 6872716370 10573409800 13745432740 17181790925 27490865480 34363581850 68727163700 137454327400