145310390416 has 45 divisors (see below), whose sum is σ = 283811106969. Its totient is φ = 72073490112.

The previous prime is 145310390411. The next prime is 145310390429. The reversal of 145310390416 is 614093013541.

The square root of 145310390416 is 381196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42592704400 + 102717686016 = 206380^2 + 320496^2 .

It is a super-2 number, since 2×145310390416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145310390411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 239390785 + ... + 239391391.

Almost surely, 2^145310390416 is an apocalyptic number.

145310390416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145310390416 is the 381196-th square number.

It is an amenable number.

145310390416 is a deficient number, since it is larger than the sum of its proper divisors (138500716553).

145310390416 is an frugal number, since it uses more digits than its factorization.

145310390416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 145310390416 in words is "one hundred forty-five billion, three hundred ten million, three hundred ninety thousand, four hundred sixteen".