145151434890 has 128 divisors (see below), whose sum is σ = 482581463040. Its totient is φ = 30161332800.

The previous prime is 145151434871. The next prime is 145151434891. The reversal of 145151434890 is 98434151541.

145151434890 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 514 + 3 + 48 + 90 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145151434891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3470106 + ... + 3511685.

It is an arithmetic number, because the mean of its divisors is an integer number (3770167680).

Almost surely, 2^145151434890 is an apocalyptic number.

145151434890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145151434890 is an abundant number, since it is smaller than the sum of its proper divisors (337430028150).

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

145151434890 is a wasteful number, since it uses less digits than its factorization.

145151434890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981825 (or 6981819 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 145151434890 in words is "one hundred forty-five billion, one hundred fifty-one million, four hundred thirty-four thousand, eight hundred ninety".