145261210350 has 192 divisors, whose sum is σ = 378947745792. Its totient is φ = 36785280000.

The previous prime is 145261210319. The next prime is 145261210351. The reversal of 145261210350 is 53012162541.

It is a super-2 number, since 2×145261210350² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145261210351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56941575 + ... + 56944125.

It is an arithmetic number, because the mean of its divisors is an integer number (1973686176).

Almost surely, 2^145261210350 is an apocalyptic number.

145261210350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145261210350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189473872896).

145261210350 is an abundant number, since it is smaller than the sum of its proper divisors (233686535442).

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

145261210350 is a wasteful number, since it uses less digits than its factorization.

145261210350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 145261210350 its reverse (53012162541), we get a palindrome (198273372891).

The spelling of 145261210350 in words is "one hundred forty-five billion, two hundred sixty-one million, two hundred ten thousand, three hundred fifty".