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134755068100 = 2252367092
BaseRepresentation
bin111110110000000000…
…1110010100011000100
3110212211022102201210011
41331200001302203010
54201434244134400
6141523340440004
712510233115442
oct1754001624304
9425738381704
10134755068100
11521707a5184
1222149249004
13c9270767b3
146744c0db92
15378a5378ba
hex1f600728c4

134755068100 has 27 divisors (see below), whose sum is σ = 292426463847. Its totient is φ = 53900558880.

The previous prime is 134755068089. The next prime is 134755068113. The reversal of 134755068100 is 1860557431.

It is a happy number.

The square root of 134755068100 is 367090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5062891716 + 129692176384 = 71154^2 + 360128^2 .

It is a super-2 number, since 2×1347550681002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3652546 + ... + 3689254.

Almost surely, 2134755068100 is an apocalyptic number.

134755068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134755068100 is the 367090-th square number.

It is an amenable number.

134755068100 is an abundant number, since it is smaller than the sum of its proper divisors (157671395747).

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

134755068100 is an frugal number, since it uses more digits than its factorization.

134755068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73432 (or 36716 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 134755068100 in words is "one hundred thirty-four billion, seven hundred fifty-five million, sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 36709 73418 146836 183545 367090 734180 917725 1835450 3670900 1347550681 2695101362 5390202724 6737753405 13475506810 26951013620 33688767025 67377534050 134755068100