148957153632 has 384 divisors, whose sum is σ = 534840606720. Its totient is φ = 39394460160.

The previous prime is 148957153577. The next prime is 148957153637. The reversal of 148957153632 is 236351759841.

It is a happy number.

148957153632 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 5 + 71 + 536 + 32 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148957153637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4294953 + ... + 4329495.

It is an arithmetic number, because the mean of its divisors is an integer number (1392814080).

Almost surely, 2^148957153632 is an apocalyptic number.

148957153632 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 148957153632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267420303360).

148957153632 is an abundant number, since it is smaller than the sum of its proper divisors (385883453088).

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

148957153632 is a wasteful number, since it uses less digits than its factorization.

148957153632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34623 (or 34609 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 148957153632 in words is "one hundred forty-eight billion, nine hundred fifty-seven million, one hundred fifty-three thousand, six hundred thirty-two".