145654328160 has 576 divisors, whose sum is σ = 566269704000. Its totient is φ = 33768161280.

The previous prime is 145654328159. The next prime is 145654328191. The reversal of 145654328160 is 61823456541.

145654328160 is a `hidden beast` number, since 1 + 4 + 56 + 5 + 432 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 50068786 + ... + 50071694.

It is an arithmetic number, because the mean of its divisors is an integer number (983107125).

Almost surely, 2^145654328160 is an apocalyptic number.

145654328160 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 145654328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283134852000).

145654328160 is an abundant number, since it is smaller than the sum of its proper divisors (420615375840).

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

145654328160 is a wasteful number, since it uses less digits than its factorization.

145654328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 145654328160 in words is "one hundred forty-five billion, six hundred fifty-four million, three hundred twenty-eight thousand, one hundred sixty".