145106313552 has 30 divisors (see below), whose sum is σ = 406096141802. Its totient is φ = 48368771136.

The previous prime is 145106313481. The next prime is 145106313559. The reversal of 145106313552 is 255313601541.

145106313552 is a `hidden beast` number, since 1 + 4 + 5 + 10 + 631 + 3 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83206863936 + 61899449616 = 288456^2 + 248796^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145106313559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503841223 + ... + 503841510.

Almost surely, 2^145106313552 is an apocalyptic number.

145106313552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145106313552 is an abundant number, since it is smaller than the sum of its proper divisors (260989828250).

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

145106313552 is a wasteful number, since it uses less digits than its factorization.

145106313552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007682747 (or 1007682738 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 145106313552 in words is "one hundred forty-five billion, one hundred six million, three hundred thirteen thousand, five hundred fifty-two".