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145126422136160 = 2556007150997193
BaseRepresentation
bin100000111111110111100000…
…110101101100010101100000
3201000211221122212220121010122
4200333313200311230111200
5123010222403031324120
61232354054040415412
742366016013340533
oct4077674065542540
9630757585817118
10145126422136160
1142272851948873
121433a581177568
1362c9494349b9a
1427ba228cb2a1a
1511ba1108d3a25
hex83fde0d6c560

145126422136160 has 48 divisors (see below), whose sum is σ = 342918251506656. Its totient is φ = 58040904649728.

The previous prime is 145126422136159. The next prime is 145126422136187. The reversal of 145126422136160 is 61631224621541.

It is a happy number.

145126422136160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451264221361602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74537477 + ... + 76459716.

It is an arithmetic number, because the mean of its divisors is an integer number (7144130239722).

Almost surely, 2145126422136160 is an apocalyptic number.

145126422136160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145126422136160 is an abundant number, since it is smaller than the sum of its proper divisors (197791829370496).

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

145126422136160 is a wasteful number, since it uses less digits than its factorization.

145126422136160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151003215 (or 151003207 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 145126422136160 in words is "one hundred forty-five trillion, one hundred twenty-six billion, four hundred twenty-two million, one hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6007 12014 24028 30035 48056 60070 96112 120140 192224 240280 480560 961120 150997193 301994386 603988772 754985965 1207977544 1509971930 2415955088 3019943860 4831910176 6039887720 12079775440 24159550880 907040138351 1814080276702 3628160553404 4535200691755 7256321106808 9070401383510 14512642213616 18140802767020 29025284427232 36281605534040 72563211068080 145126422136160