148202151552 has 960 divisors, whose sum is σ = 560490701760. Its totient is φ = 38041436160.

The previous prime is 148202151547. The next prime is 148202151589. The reversal of 148202151552 is 255151202841.

148202151552 is a `hidden beast` number, since 1 + 4 + 82 + 0 + 21 + 5 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 527409652 + ... + 527409932.

It is an arithmetic number, because the mean of its divisors is an integer number (583844481).

Almost surely, 2^148202151552 is an apocalyptic number.

148202151552 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 148202151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280245350880).

148202151552 is an abundant number, since it is smaller than the sum of its proper divisors (412288550208).

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

148202151552 is a wasteful number, since it uses less digits than its factorization.

148202151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 148202151552 in words is "one hundred forty-eight billion, two hundred two million, one hundred fifty-one thousand, five hundred fifty-two".