145416505542 has 192 divisors, whose sum is σ = 369209498112. Its totient is φ = 37373529600.

The previous prime is 145416505537. The next prime is 145416505607. The reversal of 145416505542 is 245505614541.

It is a happy number.

It is a super-2 number, since 2×145416505542² (a number of 23 digits) contains 22 as substring.

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 = 145416505494 and 145416505503.

It is a congruent number.

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, 268791792 + ... + 268792332.

It is an arithmetic number, because the mean of its divisors is an integer number (1922966136).

Almost surely, 2^145416505542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145416505542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184604749056).

145416505542 is an abundant number, since it is smaller than the sum of its proper divisors (223792992570).

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

145416505542 is a wasteful number, since it uses less digits than its factorization.

145416505542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1024 counting only the distinct ones).

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

The spelling of 145416505542 in words is "one hundred forty-five billion, four hundred sixteen million, five hundred five thousand, five hundred forty-two".