145356553056 has 192 divisors, whose sum is σ = 460384356096. Its totient is φ = 39560140800.

The previous prime is 145356553049. The next prime is 145356553073. The reversal of 145356553056 is 650355653541.

It is a super-2 number, since 2×145356553056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 145356552996 and 145356553014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364851 + ... + 651021.

It is an arithmetic number, because the mean of its divisors is an integer number (2397835188).

Almost surely, 2^145356553056 is an apocalyptic number.

145356553056 is a gapful number since it is divisible by the number (16) 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 145356553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230192178048).

145356553056 is an abundant number, since it is smaller than the sum of its proper divisors (315027803040).

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

145356553056 is a wasteful number, since it uses less digits than its factorization.

145356553056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286245 (or 286237 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 145356553056 in words is "one hundred forty-five billion, three hundred fifty-six million, five hundred fifty-three thousand, fifty-six".