145126623101130 has 192 divisors, whose sum is σ = 429539898827520. Its totient is φ = 33651689702400.

The previous prime is 145126623101087. The next prime is 145126623101149. The reversal of 145126623101130 is 31101326621541.

145126623101130 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 6 + 623 + 10 + 1 + 13 + 0 = 666.

145126623101130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482938400 + ... + 1483036260.

It is an arithmetic number, because the mean of its divisors is an integer number (2237186973060).

Almost surely, 2^{145126623101130} is an apocalyptic number.

145126623101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145126623101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214769949413760).

145126623101130 is an abundant number, since it is smaller than the sum of its proper divisors (284413275726390).

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

145126623101130 is a wasteful number, since it uses less digits than its factorization.

145126623101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163037 (or 163034 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 145126623101130 its reverse (31101326621541), we get a palindrome (176227949722671).

The spelling of 145126623101130 in words is "one hundred forty-five trillion, one hundred twenty-six billion, six hundred twenty-three million, one hundred one thousand, one hundred thirty".