145542344423040 has 192 divisors, whose sum is σ = 502622946881640. Its totient is φ = 38807659290624.

The previous prime is 145542344423023. The next prime is 145542344423057. The reversal of 145542344423040 is 40324443245541.

145542344423040 is a `hidden beast` number, since 1 + 4 + 5 + 542 + 3 + 4 + 44 + 23 + 0 + 40 = 666.

145542344423040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145542344423023) and next prime (145542344423057).

It can be written as a sum of positive squares in 4 ways, for example, as 67074920645184 + 78467423777856 = 8189928^2 + 8858184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 60644974 + ... + 62999186.

Almost surely, 2^{145542344423040} is an apocalyptic number.

145542344423040 is a gapful number since it is divisible by the number (10) 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 145542344423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251311473440820).

145542344423040 is an abundant number, since it is smaller than the sum of its proper divisors (357080602458600).

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

145542344423040 is a wasteful number, since it uses less digits than its factorization.

145542344423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364971 (or 2364956 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 145542344423040 its reverse (40324443245541), we get a palindrome (185866787668581).

The spelling of 145542344423040 in words is "one hundred forty-five trillion, five hundred forty-two billion, three hundred forty-four million, four hundred twenty-three thousand, forty".