145451640 has 128 divisors (see below), whose sum is σ = 450432000. Its totient is φ = 37559808.

The previous prime is 145451639. The next prime is 145451689. The reversal of 145451640 is 46154541.

145451640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145451598 and 145451607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635046 + ... + 635274.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2^145451640 is an apocalyptic number.

145451640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145451640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225216000).

145451640 is an abundant number, since it is smaller than the sum of its proper divisors (304980360).

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

145451640 is a wasteful number, since it uses less digits than its factorization.

145451640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 145451640 is about 12060.3333287269. Note that the first 4 decimals coincide. The cubic root of 145451640 is about 525.9036771772.

The spelling of 145451640 in words is "one hundred forty-five million, four hundred fifty-one thousand, six hundred forty".