145906356072 has 32 divisors (see below), whose sum is σ = 364799368800. Its totient is φ = 48630988224.

The previous prime is 145906356041. The next prime is 145906356077. The reversal of 145906356072 is 270653609541.

145906356072 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 (145906356077) 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 7 ways as a sum of consecutive naturals, for example, 6622 + ... + 540237.

It is an arithmetic number, because the mean of its divisors is an integer number (11399980275).

Almost surely, 2^145906356072 is an apocalyptic number.

145906356072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145906356072 is an abundant number, since it is smaller than the sum of its proper divisors (218893012728).

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

145906356072 is a wasteful number, since it uses less digits than its factorization.

145906356072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557985 (or 557981 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 145906356072 in words is "one hundred forty-five billion, nine hundred six million, three hundred fifty-six thousand, seventy-two".