145419276090 has 512 divisors, whose sum is σ = 429769359360. Its totient is φ = 31091558400.

The previous prime is 145419276061. The next prime is 145419276127. The reversal of 145419276090 is 90672914541.

It is a happy number.

It is a super-2 number, since 2×145419276090² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1061454502 + ... + 1061454638.

It is an arithmetic number, because the mean of its divisors is an integer number (839393280).

Almost surely, 2^145419276090 is an apocalyptic number.

145419276090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145419276090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214884679680).

145419276090 is an abundant number, since it is smaller than the sum of its proper divisors (284350083270).

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

145419276090 is a wasteful number, since it uses less digits than its factorization.

145419276090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 145419276090 in words is "one hundred forty-five billion, four hundred nineteen million, two hundred seventy-six thousand, ninety".