128167445000 has 320 divisors, whose sum is σ = 371093712000. Its totient is φ = 40497408000.

The previous prime is 128167444967. The next prime is 128167445009. The reversal of 128167445000 is 544761821.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (128167445009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24602396 + ... + 24607604.

It is an arithmetic number, because the mean of its divisors is an integer number (1159667850).

Almost surely, 2^128167445000 is an apocalyptic number.

128167445000 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 128167445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185546856000).

128167445000 is an abundant number, since it is smaller than the sum of its proper divisors (242926267000).

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

128167445000 is a wasteful number, since it uses less digits than its factorization.

128167445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

It can be divided in two parts, 128 and 167445000, that multiplied together give a square (21432960000 = 146400²).

The spelling of 128167445000 in words is "one hundred twenty-eight billion, one hundred sixty-seven million, four hundred forty-five thousand".