148625236032 has 448 divisors, whose sum is σ = 508349829120. Its totient is φ = 37247164416.

The previous prime is 148625236021. The next prime is 148625236033. The reversal of 148625236032 is 230632526841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×148625236032² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (148625236033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65501394 + ... + 65503662.

It is an arithmetic number, because the mean of its divisors is an integer number (1134709440).

Almost surely, 2^148625236032 is an apocalyptic number.

148625236032 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 148625236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254174914560).

148625236032 is an abundant number, since it is smaller than the sum of its proper divisors (359724593088).

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

148625236032 is a wasteful number, since it uses less digits than its factorization.

148625236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 148625236032 in words is "one hundred forty-eight billion, six hundred twenty-five million, two hundred thirty-six thousand, thirty-two".