146178957021601 has 81 divisors (see below), whose sum is σ = 176433476881113. Its totient is φ = 120757470140160.

The previous prime is 146178957021599. The next prime is 146178957021619. The reversal of 146178957021601 is 106120759871641.

The square root of 146178957021601 is 12090449.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 853038807201 + 145325918214400 = 923601^2 + 12055120^2 .

It is not a de Polignac number, because 146178957021601 - 2¹ = 146178957021599 is a prime.

It is a super-3 number, since 3×146178957021601³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146178957021001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 357405762685 + ... + 357405763093.

Almost surely, 2^{146178957021601} is an apocalyptic number.

146178957021601 is the 12090449-th square number.

146178957021601 is the 6045225-th centered octagonal number.

It is an amenable number.

146178957021601 is a deficient number, since it is larger than the sum of its proper divisors (30254519859512).

146178957021601 is an frugal number, since it uses more digits than its factorization.

146178957021601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 58.

The spelling of 146178957021601 in words is "one hundred forty-six trillion, one hundred seventy-eight billion, nine hundred fifty-seven million, twenty-one thousand, six hundred one".