145401410251000 has 128 divisors (see below), whose sum is σ = 340494884271360. Its totient is φ = 58116892752000.

The previous prime is 145401410250983. The next prime is 145401410251049. The reversal of 145401410251000 is 152014104541.

145401410251000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145401410251000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145401410251000.

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, 8612288559 + ... + 8612305441.

It is an arithmetic number, because the mean of its divisors is an integer number (2660116283370).

Almost surely, 2^{145401410251000} is an apocalyptic number.

145401410251000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145401410251000 is an abundant number, since it is smaller than the sum of its proper divisors (195093474020360).

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

145401410251000 is a wasteful number, since it uses less digits than its factorization.

145401410251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22862 (or 22848 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 145401410251000 its reverse (152014104541), we get a palindrome (145553424355541).

The spelling of 145401410251000 in words is "one hundred forty-five trillion, four hundred one billion, four hundred ten million, two hundred fifty-one thousand".