148735035326976 has 960 divisors, whose sum is σ = 477850901299200. Its totient is φ = 40959618416640.

The previous prime is 148735035326971. The next prime is 148735035327097. The reversal of 148735035326976 is 679623530537841.

It is a super-2 number, since 2×148735035326976² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148735035326976.

It is not an unprimeable number, because it can be changed into a prime (148735035326971) 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, 172346506321 + ... + 172346507183.

It is an arithmetic number, because the mean of its divisors is an integer number (497761355520).

It is a 1-persistent number, because it is pandigital, but 2⋅148735035326976 = 297470070653952 is not.

Almost surely, 2^{148735035326976} is an apocalyptic number.

148735035326976 is a gapful number since it is divisible by the number (16) 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 148735035326976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238925450649600).

148735035326976 is an abundant number, since it is smaller than the sum of its proper divisors (329115865972224).

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

148735035326976 is a wasteful number, since it uses less digits than its factorization.

148735035326976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 69.

The spelling of 148735035326976 in words is "one hundred forty-eight trillion, seven hundred thirty-five billion, thirty-five million, three hundred twenty-six thousand, nine hundred seventy-six".