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134111640 = 233513217389
BaseRepresentation
bin1111111111001…
…10000110011000
3100100100120120210
413333212012120
5233313033030
621150251120
73215634015
oct777460630
9310316523
10134111640
1169780073
1238ab6aa0
1321a28100
1413b5070c
15bb91bb0
hex7fe6198

134111640 has 192 divisors, whose sum is σ = 462477600. Its totient is φ = 30990336.

The previous prime is 134111639. The next prime is 134111641. The reversal of 134111640 is 46111431.

It is an interprime number because it is at equal distance from previous prime (134111639) and next prime (134111641).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134111641) 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, 344566 + ... + 344954.

Almost surely, 2134111640 is an apocalyptic number.

134111640 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 134111640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231238800).

134111640 is an abundant number, since it is smaller than the sum of its proper divisors (328365960).

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

134111640 is a wasteful number, since it uses less digits than its factorization.

134111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 134111640 is about 11580.6580123929. The cubic root of 134111640 is about 511.8650665747.

It can be divided in two parts, 13411 and 1640, that added together give a palindrome (15051).

The spelling of 134111640 in words is "one hundred thirty-four million, one hundred eleven thousand, six hundred forty".