148962257472 has 672 divisors, whose sum is σ = 498309960960. Its totient is φ = 38397542400.

The previous prime is 148962257467. The next prime is 148962257473. The reversal of 148962257472 is 274752269841.

148962257472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (13547520) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (148962257473) 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, 1535693328 + ... + 1535693424.

It is an arithmetic number, because the mean of its divisors is an integer number (741532680).

Almost surely, 2^148962257472 is an apocalyptic number.

148962257472 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 148962257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249154980480).

148962257472 is an abundant number, since it is smaller than the sum of its proper divisors (349347703488).

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

148962257472 is a wasteful number, since it uses less digits than its factorization.

148962257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 210 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 148962257472 in words is "one hundred forty-eight billion, nine hundred sixty-two million, two hundred fifty-seven thousand, four hundred seventy-two".