145961088 has 128 divisors (see below), whose sum is σ = 477294720. Its totient is φ = 38486016.

The previous prime is 145961077. The next prime is 145961129. The reversal of 145961088 is 880169541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32856 + ... + 37032.

It is an arithmetic number, because the mean of its divisors is an integer number (3728865).

Almost surely, 2^145961088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238647360).

145961088 is an abundant number, since it is smaller than the sum of its proper divisors (331333632).

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

145961088 is a wasteful number, since it uses less digits than its factorization.

145961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 145961088 is about 12081.4356762762. The cubic root of 145961088 is about 526.5169586415.

The spelling of 145961088 in words is "one hundred forty-five million, nine hundred sixty-one thousand, eighty-eight".