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135136376881 = 11223214532
BaseRepresentation
bin111110111011011000…
…0010111100000110001
3110220210212221020002121
41331312300113200301
54203224403030011
6142025241314241
712522543152032
oct1756660274061
9426725836077
10135136376881
1152346a64100
1222234a95981
13c9880725ac
14677d70aa89
1537adc57e71
hex1f76c17831

135136376881 has 27 divisors (see below), whose sum is σ = 155384250987. Its totient is φ = 117429018960.

The previous prime is 135136376861. The next prime is 135136376899. The reversal of 135136376881 is 188673631531.

The square root of 135136376881 is 367609.

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

It can be written as a sum of positive squares in only one way, i.e., 131808933025 + 3327443856 = 363055^2 + 57684^2 .

It is not a de Polignac number, because 135136376881 - 29 = 135136376369 is a prime.

It is a super-2 number, since 2×1351363768812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135136376861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93004351 + ... + 93005803.

Almost surely, 2135136376881 is an apocalyptic number.

135136376881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135136376881 is the 367609-th square number.

135136376881 is the 183805-th centered octagonal number.

It is an amenable number.

135136376881 is a deficient number, since it is larger than the sum of its proper divisors (20247874106).

135136376881 is an frugal number, since it uses more digits than its factorization.

135136376881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 1487 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 135136376881 in words is "one hundred thirty-five billion, one hundred thirty-six million, three hundred seventy-six thousand, eight hundred eighty-one".

Divisors: 1 11 23 121 253 529 1453 2783 5819 15983 33419 64009 175813 367609 768637 2111209 4043699 8455007 23223299 48557807 93005077 255456289 534135877 1116829561 5875494647 12285125171 135136376881