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133740000 = 253254743
BaseRepresentation
bin1111111100010…
…11010111100000
3100022122200210100
413332023113200
5233214140000
621134302400
73212525352
oct776132740
9308580710
10133740000
1169546929
1238957a00
1321927bc4
1413a950d2
15bb1ba00
hex7f8b5e0

133740000 has 180 divisors, whose sum is σ = 475891416. Its totient is φ = 35616000.

The previous prime is 133739989. The next prime is 133740023. The reversal of 133740000 is 47331.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179629 + ... + 180371.

Almost surely, 2133740000 is an apocalyptic number.

133740000 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 133740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945708).

133740000 is an abundant number, since it is smaller than the sum of its proper divisors (342151416).

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

133740000 is an equidigital number, since it uses as much as digits as its factorization.

133740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 133740000 is about 11564.6011604378. The cubic root of 133740000 is about 511.3918152822.

Adding to 133740000 its reverse (47331), we get a palindrome (133787331).

The spelling of 133740000 in words is "one hundred thirty-three million, seven hundred forty thousand".