145958157600 has 144 divisors (see below), whose sum is σ = 476442443232. Its totient is φ = 38811688960.

The previous prime is 145958157571. The next prime is 145958157607. The reversal of 145958157600 is 6751859541.

145958157600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145958157607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761059 + ... + 933341.

It is an arithmetic number, because the mean of its divisors is an integer number (3308628078).

Almost surely, 2^145958157600 is an apocalyptic number.

145958157600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145958157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238221221616).

145958157600 is an abundant number, since it is smaller than the sum of its proper divisors (330484285632).

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

145958157600 is a wasteful number, since it uses less digits than its factorization.

145958157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172659 (or 172646 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 145958157600 in words is "one hundred forty-five billion, nine hundred fifty-eight million, one hundred fifty-seven thousand, six hundred".