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134774157672 = 233271146152733
BaseRepresentation
bin111110110000100101…
…0100111000101101000
3110212212122100120202100
41331201022213011220
54202004141021142
6141525301533400
712510554303250
oct1754112470550
9425778316670
10134774157672
1152180553490
1222153714260
13c92accb6bb
14674757c960
15378c058b4c
hex1f612a7168

134774157672 has 192 divisors, whose sum is σ = 456077381760. Its totient is φ = 34929676800.

The previous prime is 134774157671. The next prime is 134774157677. The reversal of 134774157672 is 276751477431.

134774157672 is a `hidden beast` number, since 13 + 477 + 4 + 157 + 6 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (134774157671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529418 + ... + 2582150.

It is an arithmetic number, because the mean of its divisors is an integer number (2375403030).

Almost surely, 2134774157672 is an apocalyptic number.

134774157672 is a gapful number since it is divisible by the number (12) 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 134774157672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228038690880).

134774157672 is an abundant number, since it is smaller than the sum of its proper divisors (321303224088).

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

134774157672 is a wasteful number, since it uses less digits than its factorization.

134774157672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53224 (or 53217 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 134774157672 in words is "one hundred thirty-four billion, seven hundred seventy-four million, one hundred fifty-seven thousand, six hundred seventy-two".