145746137248 has 48 divisors (see below), whose sum is σ = 299734223040. Its totient is φ = 69629953536.

The previous prime is 145746137239. The next prime is 145746137263. The reversal of 145746137248 is 842731647541.

It is a junction number, because it is equal to n+sod(n) for n = 145746137195 and 145746137204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583963 + ... + 795301.

It is an arithmetic number, because the mean of its divisors is an integer number (6244462980).

Almost surely, 2^145746137248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145746137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149867111520).

145746137248 is an abundant number, since it is smaller than the sum of its proper divisors (153988085792).

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

145746137248 is a wasteful number, since it uses less digits than its factorization.

145746137248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212309 (or 212301 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The spelling of 145746137248 in words is "one hundred forty-five billion, seven hundred forty-six million, one hundred thirty-seven thousand, two hundred forty-eight".