146127294756 has 63 divisors (see below), whose sum is σ = 383462924971. Its totient is φ = 48702217464.

The previous prime is 146127294737. The next prime is 146127294767. The reversal of 146127294756 is 657492721641.

The square root of 146127294756 is 382266.

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

146127294756 is a `hidden beast` number, since 1 + 46 + 127 + 2 + 9 + 475 + 6 = 666.

It is a super-3 number, since 3×146127294756³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 20638825 + ... + 20645903.

Almost surely, 2^146127294756 is an apocalyptic number.

146127294756 is the 382266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146127294756

146127294756 is an abundant number, since it is smaller than the sum of its proper divisors (237335630215).

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

146127294756 is an frugal number, since it uses more digits than its factorization.

146127294756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 7084 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 146127294756 in words is "one hundred forty-six billion, one hundred twenty-seven million, two hundred ninety-four thousand, seven hundred fifty-six".