145615342120633 has 64 divisors (see below), whose sum is σ = 186332129280000. Its totient is φ = 110491894013760.

The previous prime is 145615342120627. The next prime is 145615342120639. The reversal of 145615342120633 is 336021243516541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145615342120627) and next prime (145615342120639).

It is not a de Polignac number, because 145615342120633 - 2⁵ = 145615342120601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145615342120639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1624056958 + ... + 1624146616.

It is an arithmetic number, because the mean of its divisors is an integer number (2911439520000).

Almost surely, 2^{145615342120633} is an apocalyptic number.

It is an amenable number.

145615342120633 is a deficient number, since it is larger than the sum of its proper divisors (40716787159367).

145615342120633 is a wasteful number, since it uses less digits than its factorization.

145615342120633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91202.

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 145615342120633 in words is "one hundred forty-five trillion, six hundred fifteen billion, three hundred forty-two million, one hundred twenty thousand, six hundred thirty-three".