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133220640 = 25357311279
BaseRepresentation
bin1111111000011…
…00100100100000
3100021200022100210
413330030210200
5233101030030
621115214120
73205233240
oct774144440
9307608323
10133220640
1169221703
1238747340
13217a56a7
141399bb20
15ba67bb0
hex7f0c920

133220640 has 192 divisors, whose sum is σ = 495452160. Its totient is φ = 29445120.

The previous prime is 133220639. The next prime is 133220651. The reversal of 133220640 is 46022331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103521 + ... + 104799.

It is an arithmetic number, because the mean of its divisors is an integer number (2580480).

Almost surely, 2133220640 is an apocalyptic number.

133220640 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 133220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247726080).

133220640 is an abundant number, since it is smaller than the sum of its proper divisors (362231520).

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

133220640 is a wasteful number, since it uses less digits than its factorization.

133220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 133220640 is about 11542.1245877871. The cubic root of 133220640 is about 510.7289844196.

Adding to 133220640 its reverse (46022331), we get a palindrome (179242971).

The spelling of 133220640 in words is "one hundred thirty-three million, two hundred twenty thousand, six hundred forty".