145337519232 has 288 divisors, whose sum is σ = 440481672540. Its totient is φ = 45979914240.

The previous prime is 145337519209. The next prime is 145337519273. The reversal of 145337519232 is 232915733541.

145337519232 is a `hidden beast` number, since 1 + 4 + 533 + 75 + 19 + 2 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143410660416 + 1926858816 = 378696^2 + 43896^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145337519232² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58673578 + ... + 58676054.

Almost surely, 2^145337519232 is an apocalyptic number.

145337519232 is a gapful number since it is divisible by the number (12) 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 145337519232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220240836270).

145337519232 is an abundant number, since it is smaller than the sum of its proper divisors (295144153308).

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

145337519232 is a wasteful number, since it uses less digits than its factorization.

145337519232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2566 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 145337519232 in words is "one hundred forty-five billion, three hundred thirty-seven million, five hundred nineteen thousand, two hundred thirty-two".