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137168640 = 2837572
BaseRepresentation
bin10000010110100…
…00011100000000
3100120002220000000
420023100130000
5240103344030
621340000000
73253625400
oct1013203400
9316086000
10137168640
1170478914
1239b30000
132255869b
1414308800
15c097860
hex82d0700

137168640 has 432 divisors, whose sum is σ = 573219360. Its totient is φ = 31352832.

The previous prime is 137168639. The next prime is 137168651. The reversal of 137168640 is 46861731.

137168640 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 137168595 and 137168604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19595517 + ... + 19595523.

Almost surely, 2137168640 is an apocalyptic number.

137168640 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 137168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286609680).

137168640 is an abundant number, since it is smaller than the sum of its proper divisors (436050720).

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

137168640 is an frugal number, since it uses more digits than its factorization.

137168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137168640 is about 11711.9016389312. The cubic root of 137168640 is about 515.7251104793.

The spelling of 137168640 in words is "one hundred thirty-seven million, one hundred sixty-eight thousand, six hundred forty".