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137861919 = 37132373
BaseRepresentation
bin10000011011110…
…01101100011111
3100121102010000000
420031321230133
5240243040134
621402505343
73262543536
oct1015715437
9317363000
10137861919
1170901778
123a205253
132273c100
141444931d
15c182e99
hex8379b1f

137861919 has 48 divisors (see below), whose sum is σ = 224489760. Its totient is φ = 84610656.

The previous prime is 137861897. The next prime is 137861939. The reversal of 137861919 is 919168731.

137861919 is a `hidden beast` number, since 13 + 7 + 8 + 619 + 19 = 666.

It is not a de Polignac number, because 137861919 - 27 = 137861791 is a prime.

It is a super-2 number, since 2×1378619192 = 38011817420725122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137861939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369417 + ... + 369789.

It is an arithmetic number, because the mean of its divisors is an integer number (4676870).

Almost surely, 2137861919 is an apocalyptic number.

137861919 is a deficient number, since it is larger than the sum of its proper divisors (86627841).

137861919 is an frugal number, since it uses more digits than its factorization.

137861919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 389 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 137861919 is about 11741.4615359418. The cubic root of 137861919 is about 516.5925116374.

The spelling of 137861919 in words is "one hundred thirty-seven million, eight hundred sixty-one thousand, nine hundred nineteen".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 373 507 729 1053 1119 1521 2187 3159 3357 4563 4849 9477 10071 13689 14547 28431 30213 41067 43641 63037 90639 123201 130923 189111 271917 369603 392769 567333 815751 1178307 1701999 3534921 5105997 10604763 15317991 45953973 137861919