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133042562500 = 225614592
BaseRepresentation
bin111101111100111110…
…1000110010111000100
3110201101222001102201211
41323321331012113010
54134432344000000
6141041403501204
712416630056651
oct1737175062704
9421358042654
10133042562500
11514720703a1
122194b827804
13c71333c083
1466215d0c28
1536da0137ba
hex1ef9f465c4

133042562500 has 63 divisors (see below), whose sum is σ = 291226487097. Its totient is φ = 53180550000.

The previous prime is 133042562383. The next prime is 133042562567. The reversal of 133042562500 is 5265240331.

It is a happy number.

The square root of 133042562500 is 364750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 116558056836 + 16484505664 = 341406^2 + 128392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 91186771 + ... + 91188229.

Almost surely, 2133042562500 is an apocalyptic number.

133042562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133042562500 is the 364750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133042562500

133042562500 is an abundant number, since it is smaller than the sum of its proper divisors (158183924597).

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

133042562500 is an frugal number, since it uses more digits than its factorization.

133042562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 133042562500 in words is "one hundred thirty-three billion, forty-two million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1459 2500 2918 3125 5836 6250 7295 12500 14590 15625 29180 31250 36475 62500 72950 145900 182375 364750 729500 911875 1823750 2128681 3647500 4257362 4559375 8514724 9118750 10643405 18237500 21286810 22796875 42573620 45593750 53217025 91187500 106434050 212868100 266085125 532170250 1064340500 1330425625 2660851250 5321702500 6652128125 13304256250 26608512500 33260640625 66521281250 133042562500