146006217544 has 128 divisors (see below), whose sum is σ = 318581942400. Its totient is φ = 61997322240.

The previous prime is 146006217541. The next prime is 146006217563. The reversal of 146006217544 is 445712600641.

It is a junction number, because it is equal to n+sod(n) for n = 146006217497 and 146006217506.

It is not an unprimeable number, because it can be changed into a prime (146006217541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192874414 + ... + 192875170.

It is an arithmetic number, because the mean of its divisors is an integer number (2488921425).

Almost surely, 2^146006217544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146006217544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159290971200).

146006217544 is an abundant number, since it is smaller than the sum of its proper divisors (172575724856).

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

146006217544 is a wasteful number, since it uses less digits than its factorization.

146006217544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 146006217544 in words is "one hundred forty-six billion, six million, two hundred seventeen thousand, five hundred forty-four".