145455511320042 has 288 divisors, whose sum is σ = 385826807520000. Its totient is φ = 36379979032320.

The previous prime is 145455511319999. The next prime is 145455511320079. The reversal of 145455511320042 is 240023115554541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 145455511319976 and 145455511320003.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384614959 + ... + 384992957.

It is an arithmetic number, because the mean of its divisors is an integer number (1339676415000).

Almost surely, 2^{145455511320042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145455511320042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192913403760000).

145455511320042 is an abundant number, since it is smaller than the sum of its proper divisors (240371296199958).

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

145455511320042 is a wasteful number, since it uses less digits than its factorization.

145455511320042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378442 (or 378424 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 145455511320042 its reverse (240023115554541), we get a palindrome (385478626874583).

The spelling of 145455511320042 in words is "one hundred forty-five trillion, four hundred fifty-five billion, five hundred eleven million, three hundred twenty thousand, forty-two".