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151152000000 = 2103564767
BaseRepresentation
bin1000110011000101011…
…1000111110000000000
3112110011001011011210020
42030301113013300000
54434024403000000
6153234355533440
713630454541561
oct2146127076000
9473131134706
10151152000000
11591153aa871
12253645ba280
131133b138971
14745c788168
153de9cd7ba0
hex23315c7c00

151152000000 has 616 divisors, whose sum is σ = 521978318592. Its totient is φ = 38860800000.

The previous prime is 151151999983. The next prime is 151152000007. The reversal of 151152000000 is 251151.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151152000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2255999967 + ... + 2256000033.

Almost surely, 2151152000000 is an apocalyptic number.

151152000000 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 151152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260989159296).

151152000000 is an abundant number, since it is smaller than the sum of its proper divisors (370826318592).

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

151152000000 is an frugal number, since it uses more digits than its factorization.

151152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 151152000000 its reverse (251151), we get a palindrome (151152251151).

The spelling of 151152000000 in words is "one hundred fifty-one billion, one hundred fifty-two million", and thus it is an aban number.