146030153625 has 48 divisors (see below), whose sum is σ = 263682920592. Its totient is φ = 77752800000.

The previous prime is 146030153623. The next prime is 146030153669. The reversal of 146030153625 is 526351030641.

146030153625 is a `hidden beast` number, since 1 + 4 + 603 + 0 + 15 + 36 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14278577049 + 131751576576 = 119493^2 + 362976^2 .

It is not a de Polignac number, because 146030153625 - 2¹ = 146030153623 is a prime.

It is a super-2 number, since 2×146030153625² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146030153625.

It is not an unprimeable number, because it can be changed into a prime (146030153623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568135 + ... + 784115.

It is an arithmetic number, because the mean of its divisors is an integer number (5493394179).

Almost surely, 2^146030153625 is an apocalyptic number.

146030153625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146030153625 is a deficient number, since it is larger than the sum of its proper divisors (117652766967).

146030153625 is a wasteful number, since it uses less digits than its factorization.

146030153625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216603 (or 216590 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 146030153625 in words is "one hundred forty-six billion, thirty million, one hundred fifty-three thousand, six hundred twenty-five".