145737956 has 48 divisors (see below), whose sum is σ = 320342400. Its totient is φ = 57647520.

The previous prime is 145737953. The next prime is 145737971. The reversal of 145737956 is 659737541.

It is a happy number.

145737956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145737956.

It is not an unprimeable number, because it can be changed into a prime (145737953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13751 + ... + 21921.

It is an arithmetic number, because the mean of its divisors is an integer number (6673800).

Almost surely, 2^145737956 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 145737956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160171200).

145737956 is an abundant number, since it is smaller than the sum of its proper divisors (174604444).

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

145737956 is a wasteful number, since it uses less digits than its factorization.

145737956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209 (or 8193 counting only the distinct ones).

The product of its digits is 793800, while the sum is 47.

The square root of 145737956 is about 12072.1976458307. The cubic root of 145737956 is about 526.2485247729.

The spelling of 145737956 in words is "one hundred forty-five million, seven hundred thirty-seven thousand, nine hundred fifty-six".