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136069056480 = 25357267791093
BaseRepresentation
bin111111010111001011…
…0010000011111100000
3111000012212221020222110
41332232112100133200
54212132134301410
6142302000035320
712554626616400
oct1765626203740
9430185836873
10136069056480
1152785487095
1222455302b40
13caa636b806
14682b532800
153815a8c720
hex1fae5907e0

136069056480 has 576 divisors, whose sum is σ = 512912010240. Its totient is φ = 30221807616.

The previous prime is 136069056457. The next prime is 136069056527. The reversal of 136069056480 is 84650960631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124490814 + ... + 124491906.

It is an arithmetic number, because the mean of its divisors is an integer number (890472240).

Almost surely, 2136069056480 is an apocalyptic number.

136069056480 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 136069056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256456005120).

136069056480 is an abundant number, since it is smaller than the sum of its proper divisors (376842953760).

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

136069056480 is a wasteful number, since it uses less digits than its factorization.

136069056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 136069056480 in words is "one hundred thirty-six billion, sixty-nine million, fifty-six thousand, four hundred eighty".