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134129748480 = 29357133141151
BaseRepresentation
bin111110011101011000…
…0011000101000000000
3110211012201210012112020
41330322300120220000
54144144203422410
6141341322001440
712455601023250
oct1747260305000
9424181705466
10134129748480
115197a823302
1221bb3946280
13c8576543a0
1466c5b55960
1537506b7a70
hex1f3ac18a00

134129748480 has 1280 divisors, whose sum is σ = 561756045312. Its totient is φ = 26542080000.

The previous prime is 134129748461. The next prime is 134129748509. The reversal of 134129748480 is 84847921431.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 888276405 + ... + 888276555.

Almost surely, 2134129748480 is an apocalyptic number.

134129748480 is a gapful number since it is divisible by the number (10) 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 134129748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280878022656).

134129748480 is an abundant number, since it is smaller than the sum of its proper divisors (427626296832).

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

134129748480 is a wasteful number, since it uses less digits than its factorization.

134129748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 134129748480 in words is "one hundred thirty-four billion, one hundred twenty-nine million, seven hundred forty-eight thousand, four hundred eighty".