145414132704 has 144 divisors (see below), whose sum is σ = 439666587360. Its totient is φ = 45430456320.

The previous prime is 145414132691. The next prime is 145414132727. The reversal of 145414132704 is 407231414541.

145414132704 is a `hidden beast` number, since 1 + 4 + 541 + 41 + 3 + 2 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145414132704² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118317 + ... + 1241555.

It is an arithmetic number, because the mean of its divisors is an integer number (3053240190).

Almost surely, 2^145414132704 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 145414132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219833293680).

145414132704 is an abundant number, since it is smaller than the sum of its proper divisors (294252454656).

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

145414132704 is a wasteful number, since it uses less digits than its factorization.

145414132704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123513 (or 123502 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 145414132704 in words is "one hundred forty-five billion, four hundred fourteen million, one hundred thirty-two thousand, seven hundred four".