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137445660000 = 25365411857
BaseRepresentation
bin1000000000000001100…
…1100101010101100000
3111010202211020222000000
42000000121211111200
54222442042110000
6143050333300000
712634013555625
oct2000031452540
9433684228000
10137445660000
1153321545750
122277a334600
13cc65617bcc
14691c2b434c
153896860000
hex2000665560

137445660000 has 840 divisors, whose sum is σ = 553707338184. Its totient is φ = 33281280000.

The previous prime is 137445659959. The next prime is 137445660017. The reversal of 137445660000 is 66544731.

It is a happy number.

137445660000 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 45 + 6 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 160379572 + ... + 160380428.

Almost surely, 2137445660000 is an apocalyptic number.

137445660000 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 137445660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276853669092).

137445660000 is an abundant number, since it is smaller than the sum of its proper divisors (416261678184).

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

137445660000 is an frugal number, since it uses more digits than its factorization.

137445660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 137445660000 in words is "one hundred thirty-seven billion, four hundred forty-five million, six hundred sixty thousand".