145629207801 has 192 divisors, whose sum is σ = 291800309760. Its totient is φ = 70815064320.

The previous prime is 145629207781. The next prime is 145629207803. The reversal of 145629207801 is 108702926541.

145629207801 is a `hidden beast` number, since 1 + 4 + 562 + 9 + 2 + 0 + 7 + 80 + 1 = 666.

It is not a de Polignac number, because 145629207801 - 2⁵ = 145629207769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145629207803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15727165 + ... + 15736421.

It is an arithmetic number, because the mean of its divisors is an integer number (1519793280).

Almost surely, 2^145629207801 is an apocalyptic number.

145629207801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145629207801 is an abundant number, since it is smaller than the sum of its proper divisors (146171101959).

145629207801 is a wasteful number, since it uses less digits than its factorization.

145629207801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145629207801 in words is "one hundred forty-five billion, six hundred twenty-nine million, two hundred seven thousand, eight hundred one".