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137001674000 = 2453174029461
BaseRepresentation
bin111111110010111101…
…1111010010100010000
3111002121212211010201002
41333211323322110100
54221034412032000
6142534313201132
712620013005042
oct1774573722420
9432555733632
10137001674000
1153113967474
12226757001a8
13cbc46456b9
1468b933da92
15386c8ad8d5
hex1fe5efa510

137001674000 has 80 divisors (see below), whose sum is σ = 350756608176. Its totient is φ = 51577088000.

The previous prime is 137001673973. The next prime is 137001674021. The reversal of 137001674000 is 476100731.

It can be written as a sum of positive squares in 8 ways, for example, as 21050527744 + 115951146256 = 145088^2 + 340516^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980731 + ... + 2048730.

Almost surely, 2137001674000 is an apocalyptic number.

137001674000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137001674000 is an abundant number, since it is smaller than the sum of its proper divisors (213754934176).

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

137001674000 is a wasteful number, since it uses less digits than its factorization.

137001674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029501 (or 4029485 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 137001674000 its reverse (476100731), we get a palindrome (137477774731).

The spelling of 137001674000 in words is "one hundred thirty-seven billion, one million, six hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 4029461 8058922 16117844 20147305 32235688 40294610 64471376 68500837 80589220 100736525 137001674 161178440 201473050 274003348 322356880 342504185 402946100 503682625 548006696 685008370 805892200 1007365250 1096013392 1370016740 1611784400 1712520925 2014730500 2740033480 3425041850 4029461000 5480066960 6850083700 8058922000 8562604625 13700167400 17125209250 27400334800 34250418500 68500837000 137001674000