145577684970 has 80 divisors (see below), whose sum is σ = 391552694280. Its totient is φ = 38809760256.

The previous prime is 145577684911. The next prime is 145577684971. The reversal of 145577684970 is 79486775541.

145577684970 is a `hidden beast` number, since 1 + 4 + 557 + 7 + 6 + 8 + 4 + 9 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97143799041 + 48433885929 = 311679^2 + 220077^2 .

It is a super-2 number, since 2×145577684970² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145577684898 and 145577684907.

It is not an unprimeable number, because it can be changed into a prime (145577684971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3081286 + ... + 3128174.

Almost surely, 2^145577684970 is an apocalyptic number.

145577684970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145577684970 is an abundant number, since it is smaller than the sum of its proper divisors (245975009310).

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

145577684970 is a wasteful number, since it uses less digits than its factorization.

145577684970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50741 (or 50732 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 145577684970 in words is "one hundred forty-five billion, five hundred seventy-seven million, six hundred eighty-four thousand, nine hundred seventy".